Question

The numbers 525 and 3000 are both divisible only by 3,5,15,25 and 75. What is HCF of (525,3000)?Justify your answer.

Answer 1

Hi there,

See, 525 and 3000 are divisible by 3,5,15,25,75. However HCF means Higest Common Factor and 75 is the highest amongst them.

Threfore, the answer would be :
`\boxed{75}`.

Hope this helps !

Photon

Answer 2

525 = 3 x 5² x 7
3000 = 2³ x 3 x 5³

HCF = 3 x 5² = 75

Factors of 75:
75 = 1 x 75
75 = 3 x 25
75 = 5 x 15

The factors of 75 are 1, 3, 5, 25, 25, and 75

Answer: The HCF is 75. And both 525 and 3000 are divisible by factors of 75, which are 3, 5, 25, 25, and 75.