GCD of 644, 218, 921, 627 Calculator

Given Input numbers are 644, 218, 921, 627

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 644, 218, 921, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 218, 921, 627 is 1.

Therefore, GCD of numbers 644, 218, 921, 627 is 1

Given Input Data is 644, 218, 921, 627

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 218 is 2 x 109

Prime Factorization of 921 is 3 x 307

Prime Factorization of 627 is 3 x 11 x 19

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, 218) = 70196

GCD(644, 218) = ( 644 x 218 ) / 70196

GCD(644, 218) = 140392 / 70196

GCD(644, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 644, 218, 921, 627 is 1

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1. What is the GCD of 644, 218, 921, 627?

GCD of 644, 218, 921, 627 is 1

2. Where do I get the detailed procedure to find GCD of 644, 218, 921, 627?

You can find a detailed procedure to find GCD of 644, 218, 921, 627 on our page.

3. How to find GCD of 644, 218, 921, 627 on a calculator?

You can find the GCD of 644, 218, 921, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.