Question

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

Answer 1

Question :-

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

Answer :-

Answer:

The largest number which is a factor of 504,792,1080 is 72.

Solution:

1st term

504

= 2 x 2 x 2 x 3 x 3 x 7

2nd term

= 792

= 2 x 2 x 2 x 3 x 3 x 11

3rd term

= 1080

= 2 x 2 x 2 x 3 x 3 x 15

Then GCD (504, 792, 1080)

= 2 x 2 x 2 x 3 x 3

= 72

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

Extra:

if we want to find the smallest number which is divisible by each of 504, 792 and 1080, we find the lcm of the numbers.

This is given by

= 2 x 2 x 2 x 3 x 3 x 7 x 11 x 5

= 83160

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

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