Question

Find the HCF of

24,36 and 90​

Answer 1

HCF of 24, 36 and 90 is 6

Explanation:

To find:

The HCF of  24, 36 and 90​

STEP 1: Find the prime factorization of 24

 HCF of 24

 Find the factors of 24

 24 ÷ 2 = 12

  12 ÷ 2 = 6

  6  ÷ 2 = 3

   3 ÷ 3 = 1

The  prime factorization of 24  is 2×2×2×3

STEP 2 : Find the prime factorization of 36

HCF of 36

 Find the factors of 36

 36 ÷ 2 = 18

  18 ÷ 2 = 9

  9  ÷ 3 = 3

   3 ÷ 3 = 1

The  prime factorization of 36 is 2×2×3×3

STEP 3 : Find the prime factorization of 90

HCF of 90

 Find the factors of 90

 90 ÷ 2 = 45

 45 ÷ 5  = 9

  9  ÷ 3 = 3

   3 ÷ 3 = 1

The  prime factorization of 36 is 2×5×3×3

STEP 4: Find the Highest Common Factor of 24,36 and 90

The  prime factorization of 24  is 2×2×2×3

The  prime factorization of 36  is 2×2×3×3

The  prime factorization of 36  is 2×5×3×3

==> 2 and 3 are common in three values.

HCF of 24, 36 and 90 is 2×3

HCF of 24, 36 and 90 is 6