CAT Exam > CAT Questions > The product of two numbers is 98838 and the s...
Start Learning for Free
The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?
Correct answer is '17'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The product of two numbers is 98838 and the smallest number which is d...
Let the 2 numbers be A and B.
The product of the 2 numbers is 98838, and their L.C.M. is 5814. We need to find their H.C.F.
Now, A x B = H.C.F. x L.C.M., i.e. Product of any two numbers = Product of their H.C.F. and L.C.M.
H.C.F. = 98838/5814
Answer: 17
The product of the 2 numbers is 98838, and their L.C.M. is 5814. We need to find their H.C.F.
Now, A x B = H.C.F. x L.C.M., i.e. Product of any two numbers = Product of their H.C.F. and L.C.M.
H.C.F. = 98838/5814
Answer: 17
Most Upvoted Answer
The product of two numbers is 98838 and the smallest number which is d...
Factors and Divisibility
Factors are numbers that can be multiplied together to get another number. When two numbers have a common factor, it means they can be divided evenly by that number without leaving a remainder. In this case, the product of two numbers is 98838, and the smallest number divisible by both is 5814.
Finding the Common Factors
To find the largest number by which both these numbers are divisible, we need to identify the common factors of 98838 and 5814. The prime factorization of 98838 is 2 x 3 x 16473, while the prime factorization of 5814 is 2 x 3 x 967.
Identifying the Common Factors
By comparing the prime factorizations of both numbers, we can see that the common factors are 2 and 3. To find the largest common factor, we take the smallest power of each common factor that appears in both numbers. In this case, the largest common factor is 2 x 3 = 6.
Final Answer
Therefore, the largest number by which both 98838 and 5814 are divisible is 6. It is important to note that the number 17 mentioned in the question is incorrect based on the provided information and calculations.
Factors are numbers that can be multiplied together to get another number. When two numbers have a common factor, it means they can be divided evenly by that number without leaving a remainder. In this case, the product of two numbers is 98838, and the smallest number divisible by both is 5814.
Finding the Common Factors
To find the largest number by which both these numbers are divisible, we need to identify the common factors of 98838 and 5814. The prime factorization of 98838 is 2 x 3 x 16473, while the prime factorization of 5814 is 2 x 3 x 967.
Identifying the Common Factors
By comparing the prime factorizations of both numbers, we can see that the common factors are 2 and 3. To find the largest common factor, we take the smallest power of each common factor that appears in both numbers. In this case, the largest common factor is 2 x 3 = 6.
Final Answer
Therefore, the largest number by which both 98838 and 5814 are divisible is 6. It is important to note that the number 17 mentioned in the question is incorrect based on the provided information and calculations.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer?
Question Description
The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer?.
The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer?.
Solutions for The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer?, a detailed solution for The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? has been provided alongside types of The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The product of two numbers is 98838 and the smallest number which is divisible by both of them is 5814. What is the largest number by which both these numbers are divisible?Correct answer is '17'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup