GCD of 724, 556, 642, 647 Calculator

Given Input numbers are 724, 556, 642, 647

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 724, 556, 642, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 556, 642, 647 is 1.

Therefore, GCD of numbers 724, 556, 642, 647 is 1

Given Input Data is 724, 556, 642, 647

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 556 is 2 x 2 x 139

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 647 is 647

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, 556) = 100636

GCD(724, 556) = ( 724 x 556 ) / 100636

GCD(724, 556) = 402544 / 100636

GCD(724, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 642

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

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

GCD(4, 642) = 2568 / 1284

GCD(4, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 647

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

LCM(2, 647) = 1294

GCD(2, 647) = ( 2 x 647 ) / 1294

GCD(2, 647) = 1294 / 1294

GCD(2, 647) = 1

GCD of 724, 556, 642, 647 is 1

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1. What is the GCD of 724, 556, 642, 647?

GCD of 724, 556, 642, 647 is 1

2. Where do I get the detailed procedure to find GCD of 724, 556, 642, 647?

You can find a detailed procedure to find GCD of 724, 556, 642, 647 on our page.

3. How to find GCD of 724, 556, 642, 647 on a calculator?

You can find the GCD of 724, 556, 642, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.