Question

Find hcf 625,3125,15625

Answer 1

Hi there !!

Fundamental theorem of arithmetic :

Every composite number can be expressed as a product of primes, and this factorisation is unique except for theorder in which the prime factors occur.

H.C.F of 625,3125,15625

625= 5⁴

3125

$= {5}^{5}$

15625

$= {5}^{6}$

H.C.F (Lowest power) = 5⁴

= 625

Thankyou :)

Answer 2

Answer:-

HCF=>Highest common multiple

$HCF = 625..3125..15625$

$625 = 5 {}^{4}$

$3125 = 5 {}^{5}$

$15625 = 5 {}^{6}$

Therefore the H.C.F=

$5 {}^{4} = 625$