GCD of 175, 228, 564 Calculator

Given Input numbers are 175, 228, 564

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 175, 228, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 228, 564 is 1.

Therefore, GCD of numbers 175, 228, 564 is 1

Given Input Data is 175, 228, 564

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 564 is 2 x 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(175, 228) = 39900

GCD(175, 228) = ( 175 x 228 ) / 39900

GCD(175, 228) = 39900 / 39900

GCD(175, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 175, 228, 564 is 1

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1. What is the GCD of 175, 228, 564?

GCD of 175, 228, 564 is 1

2. Where do I get the detailed procedure to find GCD of 175, 228, 564?

You can find a detailed procedure to find GCD of 175, 228, 564 on our page.

3. How to find GCD of 175, 228, 564 on a calculator?

You can find the GCD of 175, 228, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.