GCD of 644, 792, 57, 120 Calculator

Given Input numbers are 644, 792, 57, 120

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 644, 792, 57, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 792, 57, 120 is 1.

Therefore, GCD of numbers 644, 792, 57, 120 is 1

Given Input Data is 644, 792, 57, 120

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 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 57 is 3 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(644, 792) = 127512

GCD(644, 792) = ( 644 x 792 ) / 127512

GCD(644, 792) = 510048 / 127512

GCD(644, 792) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 57

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

LCM(4, 57) = 228

GCD(4, 57) = ( 4 x 57 ) / 228

GCD(4, 57) = 228 / 228

GCD(4, 57) = 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 644, 792, 57, 120 is 1

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1. What is the GCD of 644, 792, 57, 120?

GCD of 644, 792, 57, 120 is 1

2. Where do I get the detailed procedure to find GCD of 644, 792, 57, 120?

You can find a detailed procedure to find GCD of 644, 792, 57, 120 on our page.

3. How to find GCD of 644, 792, 57, 120 on a calculator?

You can find the GCD of 644, 792, 57, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.