Question

find the HCF of 275,225​

Answer 1

Answer:

Hey !!

Here is your answer...

275 = 5 × 5 × 11 = 5^2 × 11

225 = 5 × 5 × 3 × 3 = 5^2 × 3^2

175 = 5 × 5 × 7 = 5^2 × 7

H.C.F = 5^2

H.C.F = 25

L.C.M = 5^2 × 11 × 3^2 × 7

L.C.M = 17325

Hope it helps you...

Thanks. ^-^

Answer 2

Answer:

The HCF of 275 and 225 is 25.

Step-by-step explanation:

Given: The numbers are 275 and 225.​

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 275 and 225.​

First, we will find the factors of the above numbers.

The factors of 225 are: $1, 3, 5, 9, 15, 25, 45, 75, 225$

The factors of 275 are: $1, 5, 11, 25, 55, 275$

From the above, we can see that 25 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 25.