Question

find HCF and HCF of 900 and 270

Answer 1

900 = 2 x 2 x 3 x 3 x 5 x 5

900 =  2² x 3² x 5²

270 = 2 x 3 x 3 x 3 x 5

270 = 2 x 3³ x 5

Find HCF:

HCF = 2 x 3² x 5 = 90

Find LCM:

LCM = 2² x 3³ x 5² = 2700

Answer: HCF = 90, LCM = 2700

Answer 2

In this problem, we are assuming that we have to find the HCF of the given numbers.

Q. Find the HCF of$900\ and\ 270$.

Given: The numbers are$900\ and\ 270$.

We have to find the HCF of the above numbers.

As we know that the greatest common divisor(HCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The factors of 270 are: $1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$

The factors of 900 are: $1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90,\\ 100, 150, 180, 225, 300, 450, 900$

From the above, we can see that$90$ divides each of the given numbers.

Then the greatest common factor(HCF) is$90$.

Hence, the HCF of the given numbers is$90$.