Question

Find HCF and LCM of 625, 1125 and 2125 using fundamental theorem of arithmetic​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The HCF is 125 and the LCM is 95625

Step-by-step explanation:

Given three numbers 625, 1125 and 2125

we have to find the HCF and LCM of 625, 1125 and 2125 using fundamental theorem of arithmetic​.

Fundamental theorem of arithmetic​ is the unique prime factorization method.

$625=5\times 5\times 5\times 5=5^4$

$1125=3\times 3\times 5\times 5\times 5=3^2\times 5^3$

$2125=5\times 5\times 5\times 17=5^3\times 17$

The highest common factor i.e HCF of above 3 numbers is

$HCF(625, 1125, 2125)=5\times 5\times 5=125$

$LCM(625, 1125, 2125)=5^4\times 3^2\times 17=95625$