GCD of 644, 564, 475, 691 Calculator

Given Input numbers are 644, 564, 475, 691

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 644, 564, 475, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 564, 475, 691 is 1.

Therefore, GCD of numbers 644, 564, 475, 691 is 1

Given Input Data is 644, 564, 475, 691

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 691 is 691

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(644, 564) = 90804

GCD(644, 564) = ( 644 x 564 ) / 90804

GCD(644, 564) = 363216 / 90804

GCD(644, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 475

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

LCM(4, 475) = 1900

GCD(4, 475) = ( 4 x 475 ) / 1900

GCD(4, 475) = 1900 / 1900

GCD(4, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 644, 564, 475, 691 is 1

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• GCD of 277, 160, 241, 914
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1. What is the GCD of 644, 564, 475, 691?

GCD of 644, 564, 475, 691 is 1

2. Where do I get the detailed procedure to find GCD of 644, 564, 475, 691?

You can find a detailed procedure to find GCD of 644, 564, 475, 691 on our page.

3. How to find GCD of 644, 564, 475, 691 on a calculator?

You can find the GCD of 644, 564, 475, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.