GCD of 724, 707, 970, 652 Calculator

Given Input numbers are 724, 707, 970, 652

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 724, 707, 970, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 707, 970, 652 is 1.

Therefore, GCD of numbers 724, 707, 970, 652 is 1

Given Input Data is 724, 707, 970, 652

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 707 is 7 x 101

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 652 is 2 x 2 x 163

The above numbers do not have any common prime factor. So GCD is 1

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, 707) = 511868

GCD(724, 707) = ( 724 x 707 ) / 511868

GCD(724, 707) = 511868 / 511868

GCD(724, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 724, 707, 970, 652 is 1

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1. What is the GCD of 724, 707, 970, 652?

GCD of 724, 707, 970, 652 is 1

2. Where do I get the detailed procedure to find GCD of 724, 707, 970, 652?

You can find a detailed procedure to find GCD of 724, 707, 970, 652 on our page.

3. How to find GCD of 724, 707, 970, 652 on a calculator?

You can find the GCD of 724, 707, 970, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.