GCD of 250, 656, 520, 722 Calculator

Given Input numbers are 250, 656, 520, 722

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 250, 656, 520, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 656, 520, 722 is 2.

Therefore, GCD of numbers 250, 656, 520, 722 is 2

Given Input Data is 250, 656, 520, 722

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 722 is 2 x 19 x 19

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(250, 656) = 82000

GCD(250, 656) = ( 250 x 656 ) / 82000

GCD(250, 656) = 164000 / 82000

GCD(250, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

Step3:

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

GCD of 250, 656, 520, 722 is 2

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• GCD of 895, 596, 753, 850
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1. What is the GCD of 250, 656, 520, 722?

GCD of 250, 656, 520, 722 is 2

2. Where do I get the detailed procedure to find GCD of 250, 656, 520, 722?

You can find a detailed procedure to find GCD of 250, 656, 520, 722 on our page.

3. How to find GCD of 250, 656, 520, 722 on a calculator?

You can find the GCD of 250, 656, 520, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.