Question

Find the largest number which is a factor of each of the numbers 504, 792 and 1080?

Answer 1

Hi ,

To get the largest number which is a

factor of the numbers 504 , 792 and 1080

we have to find HCF of these numbers.

Finding HCF by prime factorisation method:

504 = 2³ × 3² ×7

792 = 2³ × 3² × 11

1080 = 2³ × 3³ × 5

HCF ( 504 , 792 , 1080 ) = 2³ × 3²

= 8 × 9

= 72

Therefore ,

Required number = 72

Answer 2

In order to find the largest number which is a factor of each of the numbers 504, 792 and 1080, we have to compute the HCF of these three numbers.

Factors of 504 = 2 x 2 x 2 x 3 x 3 x 7

Factors of 792 = 2 x 2 x 2 x 3 x 3 x 11

Factors of 1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5

The highest common factors are 2 x 2 x 2 x 3 x 3 = 72.

Therefore the HCF is 72.

The largest number which is a factor of each of the numbers 504, 792 and 1080 is 72.