the HCF of 90 and 252

  • matematika

    Subject:

    Math
  • Author:

    cambil
  • Created:

    1 year ago

Answers 2

Answer:

The HCF of 90 and 252 is 18.

Step-by-step explanation:

Given: The numbers are 90 and 252.

We have to find the HCF of the above numbers.

  • As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are 90 and 252.

First, we will find the factors of the above numbers.

The factors of 90 are: [tex]1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90[/tex]

The factors of 252 are: [tex]1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252[/tex]

From the above, we can see that 18 is the largest positive integer that divides each of the given integers.

Therefore the greatest common factor(HCF) is 18.

Note:

Q. Find the HCF of 90 and 252.

Answer:

the HCF of 90 and 252 is 18

Step-by-step explanation:

to find prime factorization of 90 = 5 × 3 × 3 × 2

to find prime factorization of 252 = 2 × 2 × 3 × 3 × 7

now to find common elements from both factorization = 2 × 3 × 3 = 18

Hence ,HCF of 90 and 252 is = 18

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