GCD of 20, 390, 622, 676 Calculator

Given Input numbers are 20, 390, 622, 676

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 20, 390, 622, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 390, 622, 676 is 2.

Therefore, GCD of numbers 20, 390, 622, 676 is 2

Given Input Data is 20, 390, 622, 676

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 622 is 2 x 311

Prime Factorization of 676 is 2 x 2 x 13 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(20, 390) = 780

GCD(20, 390) = ( 20 x 390 ) / 780

GCD(20, 390) = 7800 / 780

GCD(20, 390) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 622

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

LCM(10, 622) = 3110

GCD(10, 622) = ( 10 x 622 ) / 3110

GCD(10, 622) = 6220 / 3110

GCD(10, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 20, 390, 622, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 112, 649, 332
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• GCD of 89, 763, 789, 246
• GCD of 41, 270, 991, 225
• GCD of 76, 116, 702, 303

1. What is the GCD of 20, 390, 622, 676?

GCD of 20, 390, 622, 676 is 2

2. Where do I get the detailed procedure to find GCD of 20, 390, 622, 676?

You can find a detailed procedure to find GCD of 20, 390, 622, 676 on our page.

3. How to find GCD of 20, 390, 622, 676 on a calculator?

You can find the GCD of 20, 390, 622, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.