GCD of 920, 975, 567 Calculator

Given Input numbers are 920, 975, 567

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 920, 975, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 975, 567 is 1.

Therefore, GCD of numbers 920, 975, 567 is 1

Given Input Data is 920, 975, 567

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(920, 975) = 179400

GCD(920, 975) = ( 920 x 975 ) / 179400

GCD(920, 975) = 897000 / 179400

GCD(920, 975) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 567

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

LCM(5, 567) = 2835

GCD(5, 567) = ( 5 x 567 ) / 2835

GCD(5, 567) = 2835 / 2835

GCD(5, 567) = 1

GCD of 920, 975, 567 is 1

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1. What is the GCD of 920, 975, 567?

GCD of 920, 975, 567 is 1

2. Where do I get the detailed procedure to find GCD of 920, 975, 567?

You can find a detailed procedure to find GCD of 920, 975, 567 on our page.

3. How to find GCD of 920, 975, 567 on a calculator?

You can find the GCD of 920, 975, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.