GCD of 120, 983, 783, 638 Calculator

Given Input numbers are 120, 983, 783, 638

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

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 120, 983, 783, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 983, 783, 638 is 1.

Therefore, GCD of numbers 120, 983, 783, 638 is 1

Given Input Data is 120, 983, 783, 638

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

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

Prime Factorization of 983 is 983

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 638 is 2 x 11 x 29

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(120, 983) = 117960

GCD(120, 983) = ( 120 x 983 ) / 117960

GCD(120, 983) = 117960 / 117960

GCD(120, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 120, 983, 783, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 908, 923, 402
• GCD of 847, 450, 179, 984
• GCD of 913, 292, 922, 818
• GCD of 887, 574, 530, 332
• GCD of 117, 265, 375, 995

1. What is the GCD of 120, 983, 783, 638?

GCD of 120, 983, 783, 638 is 1

2. Where do I get the detailed procedure to find GCD of 120, 983, 783, 638?

You can find a detailed procedure to find GCD of 120, 983, 783, 638 on our page.

3. How to find GCD of 120, 983, 783, 638 on a calculator?

You can find the GCD of 120, 983, 783, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.