Question

H C F of 92 and 152 is​

Answer 1

4 is ans...

step by step explanination

Answer 2

Given:

Two numbers 92 and 152.

To Find:

The Highest Common Factor of the two numbers.

Solution:

The given problem can be solved by using the concepts of HCF.

1. The highest common factor of two numbers is defined as the greatest common divisor that is common between the two numbers. (OR) The highest value of the divisor that divides the two numbers with remainder 0.

2. HCF of two numbers can never be the largest of the two numbers. The least possible value of HCF is 1.

3. The given numbers are 92, 152.

=> 92 can also be written as = 2 x 2 x 23,

=> 152 can also be written as = 2 x 2 x 2 x 19.

=> 92 = 4 x 23 and 152 = 4 x 38,

=> The factors of 92 are 1, 2, 4, 46, 92.

=> The factors of 152 are 1, 2, 4, 8, 38, 76, 152.

4. Hence 4 is the highest multiple of both the numbers that divide 92 and 152 perfectly.

Therefore, the HCF os 92 and 152 is 4.