GCD of 52, 556, 456, 644 Calculator

Given Input numbers are 52, 556, 456, 644

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 52, 556, 456, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 556, 456, 644 is 4.

Therefore, GCD of numbers 52, 556, 456, 644 is 4

Given Input Data is 52, 556, 456, 644

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

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(52, 556) = 7228

GCD(52, 556) = ( 52 x 556 ) / 7228

GCD(52, 556) = 28912 / 7228

GCD(52, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 456

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

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

GCD(4, 456) = 1824 / 456

GCD(4, 456) = 4

Step3:

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

GCD of 52, 556, 456, 644 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 618, 438, 645
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• GCD of 19, 566, 719, 350
• GCD of 77, 566, 324, 354

1. What is the GCD of 52, 556, 456, 644?

GCD of 52, 556, 456, 644 is 4

2. Where do I get the detailed procedure to find GCD of 52, 556, 456, 644?

You can find a detailed procedure to find GCD of 52, 556, 456, 644 on our page.

3. How to find GCD of 52, 556, 456, 644 on a calculator?

You can find the GCD of 52, 556, 456, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.