GCD of 72, 212, 644, 508 Calculator

Given Input numbers are 72, 212, 644, 508

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 72, 212, 644, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 212, 644, 508 is 4.

Therefore, GCD of numbers 72, 212, 644, 508 is 4

Given Input Data is 72, 212, 644, 508

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 212 is 2 x 2 x 53

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

Prime Factorization of 508 is 2 x 2 x 127

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(72, 212) = 3816

GCD(72, 212) = ( 72 x 212 ) / 3816

GCD(72, 212) = 15264 / 3816

GCD(72, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 644

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

LCM(4, 644) = 644

GCD(4, 644) = ( 4 x 644 ) / 644

GCD(4, 644) = 2576 / 644

GCD(4, 644) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 508

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

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

GCD(4, 508) = 2032 / 508

GCD(4, 508) = 4

GCD of 72, 212, 644, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 973, 741, 666
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• GCD of 77, 931, 923, 439
• GCD of 66, 126, 311, 950

1. What is the GCD of 72, 212, 644, 508?

GCD of 72, 212, 644, 508 is 4

2. Where do I get the detailed procedure to find GCD of 72, 212, 644, 508?

You can find a detailed procedure to find GCD of 72, 212, 644, 508 on our page.

3. How to find GCD of 72, 212, 644, 508 on a calculator?

You can find the GCD of 72, 212, 644, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.