GCD of 137, 620, 21, 964 Calculator

Given Input numbers are 137, 620, 21, 964

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 137, 620, 21, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 620, 21, 964 is 1.

Therefore, GCD of numbers 137, 620, 21, 964 is 1

Given Input Data is 137, 620, 21, 964

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

Prime Factorization of 137 is 137

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 964 is 2 x 2 x 241

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(137, 620) = 84940

GCD(137, 620) = ( 137 x 620 ) / 84940

GCD(137, 620) = 84940 / 84940

GCD(137, 620) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 137, 620, 21, 964 is 1

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1. What is the GCD of 137, 620, 21, 964?

GCD of 137, 620, 21, 964 is 1

2. Where do I get the detailed procedure to find GCD of 137, 620, 21, 964?

You can find a detailed procedure to find GCD of 137, 620, 21, 964 on our page.

3. How to find GCD of 137, 620, 21, 964 on a calculator?

You can find the GCD of 137, 620, 21, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.