GCD of 684, 724, 922, 400 Calculator

Given Input numbers are 684, 724, 922, 400

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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 684, 724, 922, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 724, 922, 400 is 2.

Therefore, GCD of numbers 684, 724, 922, 400 is 2

Given Input Data is 684, 724, 922, 400

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 922 is 2 x 461

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(684, 724) = 123804

GCD(684, 724) = ( 684 x 724 ) / 123804

GCD(684, 724) = 495216 / 123804

GCD(684, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 922

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

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

GCD(4, 922) = 3688 / 1844

GCD(4, 922) = 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 684, 724, 922, 400 is 2

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• GCD of 515, 505, 470, 751
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1. What is the GCD of 684, 724, 922, 400?

GCD of 684, 724, 922, 400 is 2

2. Where do I get the detailed procedure to find GCD of 684, 724, 922, 400?

You can find a detailed procedure to find GCD of 684, 724, 922, 400 on our page.

3. How to find GCD of 684, 724, 922, 400 on a calculator?

You can find the GCD of 684, 724, 922, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.