GCD of 624, 652, 644, 156 Calculator

Given Input numbers are 624, 652, 644, 156

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 624, 652, 644, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 652, 644, 156 is 4.

Therefore, GCD of numbers 624, 652, 644, 156 is 4

Given Input Data is 624, 652, 644, 156

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 652 is 2 x 2 x 163

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(624, 652) = 101712

GCD(624, 652) = ( 624 x 652 ) / 101712

GCD(624, 652) = 406848 / 101712

GCD(624, 652) = 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 156

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

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

GCD(4, 156) = 624 / 156

GCD(4, 156) = 4

GCD of 624, 652, 644, 156 is 4

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1. What is the GCD of 624, 652, 644, 156?

GCD of 624, 652, 644, 156 is 4

2. Where do I get the detailed procedure to find GCD of 624, 652, 644, 156?

You can find a detailed procedure to find GCD of 624, 652, 644, 156 on our page.

3. How to find GCD of 624, 652, 644, 156 on a calculator?

You can find the GCD of 624, 652, 644, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.