Class 10 Exam > Class 10 Questions > The hcf and the lcm of two number are 9 and 3...
Start Learning for Free
The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?
Most Upvoted Answer
The hcf and the lcm of two number are 9 and 360 respectively if one nu...
Given:
HCF = 9
LCM = 360
One number = 45
To find:
The other number
Solution:
Let the other number be x.
Prime Factorization Method:
We know that HCF × LCM = Product of the two numbers.
i.e., 9 × 360 = 45 × x
On solving, we get x = 720.
Therefore, the other number is 720.
Division Method:
We know that HCF is the highest common factor of the two numbers.
Therefore, 9 divides both the numbers.
Also, LCM is the smallest number which is a multiple of both the numbers.
Therefore, 360 is a multiple of both the numbers.
We can use the division method to find the other number as follows:
Step 1: Divide 360 by 45.
360 ÷ 45 = 8
Therefore, one factor of the other number is 8.
Step 2: Divide 8 by 9.
8 ÷ 9 = 0 with remainder 8
Therefore, the other factor of the other number is 9 × 8 = 72.
Step 3: The other number is the product of the factors obtained in steps 1 and 2.
Therefore, the other number is 8 × 72 = 576.
Answer:
The other number is 720 or 576.
HCF = 9
LCM = 360
One number = 45
To find:
The other number
Solution:
Let the other number be x.
Prime Factorization Method:
We know that HCF × LCM = Product of the two numbers.
i.e., 9 × 360 = 45 × x
On solving, we get x = 720.
Therefore, the other number is 720.
Division Method:
We know that HCF is the highest common factor of the two numbers.
Therefore, 9 divides both the numbers.
Also, LCM is the smallest number which is a multiple of both the numbers.
Therefore, 360 is a multiple of both the numbers.
We can use the division method to find the other number as follows:
Step 1: Divide 360 by 45.
360 ÷ 45 = 8
Therefore, one factor of the other number is 8.
Step 2: Divide 8 by 9.
8 ÷ 9 = 0 with remainder 8
Therefore, the other factor of the other number is 9 × 8 = 72.
Step 3: The other number is the product of the factors obtained in steps 1 and 2.
Therefore, the other number is 8 × 72 = 576.
Answer:
The other number is 720 or 576.
Community Answer
The hcf and the lcm of two number are 9 and 360 respectively if one nu...
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?
Question Description
The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?.
The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?.
Solutions for The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? defined & explained in the simplest way possible. Besides giving the explanation of
The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet?, a detailed solution for The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? has been provided alongside types of The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? theory, EduRev gives you an
ample number of questions to practice The hcf and the lcm of two number are 9 and 360 respectively if one number 45 write the other numbet? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup