GCD of 629, 644, 38, 120 Calculator

Given Input numbers are 629, 644, 38, 120

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 629, 644, 38, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 644, 38, 120 is 1.

Therefore, GCD of numbers 629, 644, 38, 120 is 1

Given Input Data is 629, 644, 38, 120

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

Prime Factorization of 629 is 17 x 37

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(629, 644) = 405076

GCD(629, 644) = ( 629 x 644 ) / 405076

GCD(629, 644) = 405076 / 405076

GCD(629, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 629, 644, 38, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 138, 20, 362
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• GCD of 721, 113, 67, 613
• GCD of 143, 283, 22, 220
• GCD of 638, 461, 42, 733

1. What is the GCD of 629, 644, 38, 120?

GCD of 629, 644, 38, 120 is 1

2. Where do I get the detailed procedure to find GCD of 629, 644, 38, 120?

You can find a detailed procedure to find GCD of 629, 644, 38, 120 on our page.

3. How to find GCD of 629, 644, 38, 120 on a calculator?

You can find the GCD of 629, 644, 38, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.