GCD of 572, 920, 52, 128 Calculator

Given Input numbers are 572, 920, 52, 128

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 572, 920, 52, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 920, 52, 128 is 4.

Therefore, GCD of numbers 572, 920, 52, 128 is 4

Given Input Data is 572, 920, 52, 128

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(572, 920) = 131560

GCD(572, 920) = ( 572 x 920 ) / 131560

GCD(572, 920) = 526240 / 131560

GCD(572, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

GCD of 572, 920, 52, 128 is 4

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1. What is the GCD of 572, 920, 52, 128?

GCD of 572, 920, 52, 128 is 4

2. Where do I get the detailed procedure to find GCD of 572, 920, 52, 128?

You can find a detailed procedure to find GCD of 572, 920, 52, 128 on our page.

3. How to find GCD of 572, 920, 52, 128 on a calculator?

You can find the GCD of 572, 920, 52, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.