GCD of 522, 958, 572, 400 Calculator

Given Input numbers are 522, 958, 572, 400

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 522, 958, 572, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 958, 572, 400 is 2.

Therefore, GCD of numbers 522, 958, 572, 400 is 2

Given Input Data is 522, 958, 572, 400

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 958 is 2 x 479

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(522, 958) = 250038

GCD(522, 958) = ( 522 x 958 ) / 250038

GCD(522, 958) = 500076 / 250038

GCD(522, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

GCD of 522, 958, 572, 400 is 2

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1. What is the GCD of 522, 958, 572, 400?

GCD of 522, 958, 572, 400 is 2

2. Where do I get the detailed procedure to find GCD of 522, 958, 572, 400?

You can find a detailed procedure to find GCD of 522, 958, 572, 400 on our page.

3. How to find GCD of 522, 958, 572, 400 on a calculator?

You can find the GCD of 522, 958, 572, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.