GCD of 724, 406, 970, 936 Calculator

Given Input numbers are 724, 406, 970, 936

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 724, 406, 970, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 406, 970, 936 is 2.

Therefore, GCD of numbers 724, 406, 970, 936 is 2

Given Input Data is 724, 406, 970, 936

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(724, 406) = 146972

GCD(724, 406) = ( 724 x 406 ) / 146972

GCD(724, 406) = 293944 / 146972

GCD(724, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

GCD of 724, 406, 970, 936 is 2

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1. What is the GCD of 724, 406, 970, 936?

GCD of 724, 406, 970, 936 is 2

2. Where do I get the detailed procedure to find GCD of 724, 406, 970, 936?

You can find a detailed procedure to find GCD of 724, 406, 970, 936 on our page.

3. How to find GCD of 724, 406, 970, 936 on a calculator?

You can find the GCD of 724, 406, 970, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.