Question

Find the hcf of 60 and 90

Answer 1

Answer:

Find the prime factorization of 60.60=2*2*3*5

Find the prime factorization of 90. 90 = 2 × 3 × 3 × 5.

Therefore, HCF = 2 × 3 × 5.

HCF = 30.

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Answer 2

Answer: The $HCF$ of 60 and 90 is 30.

Step-by-step explanation:

Given:The given numbers are 60 and 90 respectively.

To find:We have to find the $HCF$ of 60 and 90.

Explanation:

Step 1:First of all we have to find out the prime factors of 60 and 90.

Step 2:On finding the prime factors of 60 we have,

                     $60 = 2$ × $2$ × $3$ × $5$

Step 3:On finding the prime factors of 90 we have,

                     $90 = 2$ × $3$ × $3$ × $5$

Step 4:On finding the prime factors of 60 and 90 we have,

                   $HCF = 2$ × $3$ × $5$

                             $= 30$

∴ The $HCF$ of 60 and 90 is 30.

Concept:The Highest Common Factor ($HCF$) of two numbers is the highest possible number that divides both the numbers completely. The Highest Common Factor ($HCF$) is also called the Greatest Common Divisor ($GCD$).There are many ways to find the $HCF$ of two numbers. One of the quickest ways to find the $HCF$ of two or more numbers is by using the prime factorization method.

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