GCD of 220, 317, 76, 644 Calculator

Given Input numbers are 220, 317, 76, 644

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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

Greatest Common Divisior

We found the divisors of 220, 317, 76, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 317, 76, 644 is 1.

Therefore, GCD of numbers 220, 317, 76, 644 is 1

Given Input Data is 220, 317, 76, 644

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 317 is 317

Prime Factorization of 76 is 2 x 2 x 19

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

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(220, 317) = 69740

GCD(220, 317) = ( 220 x 317 ) / 69740

GCD(220, 317) = 69740 / 69740

GCD(220, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 220, 317, 76, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 588, 86, 617
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• GCD of 491, 443, 67, 965
• GCD of 926, 783, 34, 396
• GCD of 923, 296, 48, 648

1. What is the GCD of 220, 317, 76, 644?

GCD of 220, 317, 76, 644 is 1

2. Where do I get the detailed procedure to find GCD of 220, 317, 76, 644?

You can find a detailed procedure to find GCD of 220, 317, 76, 644 on our page.

3. How to find GCD of 220, 317, 76, 644 on a calculator?

You can find the GCD of 220, 317, 76, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.