GCD of 56, 28, 52, 21 Calculator

Given Input numbers are 56, 28, 52, 21

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 56, 28, 52, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 28, 52, 21 is 1.

Therefore, GCD of numbers 56, 28, 52, 21 is 1

Given Input Data is 56, 28, 52, 21

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 21 is 3 x 7

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(56, 28) = 56

GCD(56, 28) = ( 56 x 28 ) / 56

GCD(56, 28) = 1568 / 56

GCD(56, 28) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 52

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

LCM(28, 52) = 364

GCD(28, 52) = ( 28 x 52 ) / 364

GCD(28, 52) = 1456 / 364

GCD(28, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

GCD of 56, 28, 52, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 48, 70, 46
• GCD of 59, 40, 86, 60
• GCD of 22, 17, 63, 80
• GCD of 66, 19, 29, 26
• GCD of 78, 36, 68, 73

1. What is the GCD of 56, 28, 52, 21?

GCD of 56, 28, 52, 21 is 1

2. Where do I get the detailed procedure to find GCD of 56, 28, 52, 21?

You can find a detailed procedure to find GCD of 56, 28, 52, 21 on our page.

3. How to find GCD of 56, 28, 52, 21 on a calculator?

You can find the GCD of 56, 28, 52, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.