GCD of 500, 242, 722, 956 Calculator

Given Input numbers are 500, 242, 722, 956

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 500, 242, 722, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 242, 722, 956 is 2.

Therefore, GCD of numbers 500, 242, 722, 956 is 2

Given Input Data is 500, 242, 722, 956

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 956 is 2 x 2 x 239

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(500, 242) = 60500

GCD(500, 242) = ( 500 x 242 ) / 60500

GCD(500, 242) = 121000 / 60500

GCD(500, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 500, 242, 722, 956 is 2

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• GCD of 690, 126, 283, 201

1. What is the GCD of 500, 242, 722, 956?

GCD of 500, 242, 722, 956 is 2

2. Where do I get the detailed procedure to find GCD of 500, 242, 722, 956?

You can find a detailed procedure to find GCD of 500, 242, 722, 956 on our page.

3. How to find GCD of 500, 242, 722, 956 on a calculator?

You can find the GCD of 500, 242, 722, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.