Class 10 Exam > Class 10 Questions > Explaination of finding HCF and LCM of a give...
Start Learning for Free
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION?
Most Upvoted Answer
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISAT...
2-3 examples padh lo uske ... tumhe apne aap aajaega ... aur baad mein 2-3 examples solve kar lo
Community Answer
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISAT...
Prime Factorization Method to Find HCF and LCM
To find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of a given number using the Prime Factorization method, follow these steps:
1. Prime Factorization of the Numbers
- Begin by breaking down each number into its prime factors.
- For example, if the numbers are 36 and 48:
- 36 = 2 x 2 x 3 x 3
- 48 = 2 x 2 x 2 x 2 x 3
2. Finding the HCF
- The HCF is the product of the common prime factors of the given numbers.
- In our example, the common prime factors are 2 and 3.
- Therefore, HCF = 2 x 3 = 6
3. Finding the LCM
- The LCM is the product of all prime factors, each to its highest power.
- In our example, the prime factors are 2, 2, 2, 2, and 3.
- So, LCM = 2 x 2 x 2 x 2 x 3 = 48
4. Conclusion
- The HCF of 36 and 48 is 6, while the LCM is 48.
- This method helps in quickly finding the HCF and LCM of any given numbers by breaking them down into their prime factors.
To find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of a given number using the Prime Factorization method, follow these steps:
1. Prime Factorization of the Numbers
- Begin by breaking down each number into its prime factors.
- For example, if the numbers are 36 and 48:
- 36 = 2 x 2 x 3 x 3
- 48 = 2 x 2 x 2 x 2 x 3
2. Finding the HCF
- The HCF is the product of the common prime factors of the given numbers.
- In our example, the common prime factors are 2 and 3.
- Therefore, HCF = 2 x 3 = 6
3. Finding the LCM
- The LCM is the product of all prime factors, each to its highest power.
- In our example, the prime factors are 2, 2, 2, 2, and 3.
- So, LCM = 2 x 2 x 2 x 2 x 3 = 48
4. Conclusion
- The HCF of 36 and 48 is 6, while the LCM is 48.
- This method helps in quickly finding the HCF and LCM of any given numbers by breaking them down into their prime factors.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION?
Question Description
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION?.
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION?.
Solutions for Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? 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 Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? defined & explained in the simplest way possible. Besides giving the explanation of
Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION?, a detailed solution for Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? has been provided alongside types of Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? theory, EduRev gives you an
ample number of questions to practice Explaination of finding HCF and LCM of a given no. By PRIME FACTORISATION? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup