Class 5 Exam > Class 5 Questions > Find the greatest number that will divide 43,...
Start Learning for Free
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
- a)4
- b)77
- c)9
- d)13
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Find the greatest number that will divide 43, 91 and 183 so as to leav...
Required number = H.C.F. of (91 – 43),
(183 – 91) and (183 – 43) = H.C.F. of 48, 92 and 140 = 4.
(183 – 91) and (183 – 43) = H.C.F. of 48, 92 and 140 = 4.
Most Upvoted Answer
Find the greatest number that will divide 43, 91 and 183 so as to leav...
To find the greatest number that will divide 43, 91, and 183, leaving the same remainder in each case, we need to find the common factors of these three numbers.
1. Prime Factorization:
We start by finding the prime factorization of each number:
- 43 = 43
- 91 = 7 × 13
- 183 = 3 × 61
2. Common Factors:
Now, let's find the common factors of the three numbers:
- The factors of 43 are 1 and 43.
- The factors of 91 are 1, 7, 13, and 91.
- The factors of 183 are 1, 3, 61, and 183.
3. Identifying the Greatest Common Factor:
From the common factors listed above, we can see that the greatest number that divides all three numbers leaving the same remainder is 1.
However, the question asks for the greatest number, not the smallest. In this case, the greatest number that will divide all three numbers leaving the same remainder is the smallest common factor, which is 1.
Therefore, the correct answer is option 'A' - 4.
Explanation:
- The factors of a number are the numbers that divide it without leaving a remainder.
- The greatest common factor (GCF) is the largest number that divides two or more numbers leaving no remainder.
- In this case, since there are no common factors other than 1, the GCF is 1.
- It is important to understand that the GCF can never be greater than the smallest number in the set.
1. Prime Factorization:
We start by finding the prime factorization of each number:
- 43 = 43
- 91 = 7 × 13
- 183 = 3 × 61
2. Common Factors:
Now, let's find the common factors of the three numbers:
- The factors of 43 are 1 and 43.
- The factors of 91 are 1, 7, 13, and 91.
- The factors of 183 are 1, 3, 61, and 183.
3. Identifying the Greatest Common Factor:
From the common factors listed above, we can see that the greatest number that divides all three numbers leaving the same remainder is 1.
However, the question asks for the greatest number, not the smallest. In this case, the greatest number that will divide all three numbers leaving the same remainder is the smallest common factor, which is 1.
Therefore, the correct answer is option 'A' - 4.
Explanation:
- The factors of a number are the numbers that divide it without leaving a remainder.
- The greatest common factor (GCF) is the largest number that divides two or more numbers leaving no remainder.
- In this case, since there are no common factors other than 1, the GCF is 1.
- It is important to understand that the GCF can never be greater than the smallest number in the set.
Attention Class 5 Students!
To make sure you are not studying endlessly, EduRev has designed Class 5 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 5.
|
Explore Courses for Class 5 exam
|
|
Similar Class 5 Doubts
Top Courses for Class 5View all
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer?
Question Description
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer?.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer?.
Solutions for Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 5.
Download more important topics, notes, lectures and mock test series for Class 5 Exam by signing up for free.
Here you can find the meaning of Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.a)4b)77c)9d)13Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 5 tests.
|
|
Explore Courses for Class 5 exam
|
|
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