Question

what is the HCF of 60 and 36​

Answer 1

Answer: Here is the answer

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Explanation:

Answer 2

The HCF of 30 and 36 is 12.

Given:

The numbers 30 and 36.

To Find:

The HCF of 30 and 36.

Solution:

• The greatest number that has the ability to divide each of the two or more numbers is known as the HCF.
• The Greatest Common Measure (GCM) and Greatest Common Divisor (GCD) are further names for HCF.
• The least common multiple, or LCM, is used to determine the smallest common multiple of any two or more numbers. LCM and HCM are two separate methods.
• The highest common factor can be assessed using two or more numbers.
• It is the most powerful or greatest divisor for any pair of integers that can divide the input numbers equally or fully.
• There are two ways we can determine the HCF of any given set of numbers:- by the method prime factorization and division.

Now, the given numbers are 36 and 60.

We first have to express 36 and 60 as the product of their respective prime factors.

$36= 2 X 2 X 3 X 3\\60= 2 X 2 X 3 X 5$

The common prime factors for 36 and 60 are= 2 X 2 X 3

So, $HCF= 2 X 2 X 3= 12.$

Hence, the HCF of 60 and 36 is 12.

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