GCD of 644, 118, 14, 637 Calculator

Given Input numbers are 644, 118, 14, 637

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 644, 118, 14, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 118, 14, 637 is 1.

Therefore, GCD of numbers 644, 118, 14, 637 is 1

Given Input Data is 644, 118, 14, 637

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 118 is 2 x 59

Prime Factorization of 14 is 2 x 7

Prime Factorization of 637 is 7 x 7 x 13

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, 118) = 37996

GCD(644, 118) = ( 644 x 118 ) / 37996

GCD(644, 118) = 75992 / 37996

GCD(644, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 644, 118, 14, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 553, 76, 902
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• GCD of 741, 773, 27, 703
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• GCD of 703, 613, 30, 148

1. What is the GCD of 644, 118, 14, 637?

GCD of 644, 118, 14, 637 is 1

2. Where do I get the detailed procedure to find GCD of 644, 118, 14, 637?

You can find a detailed procedure to find GCD of 644, 118, 14, 637 on our page.

3. How to find GCD of 644, 118, 14, 637 on a calculator?

You can find the GCD of 644, 118, 14, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.