GCD of 642, 506, 538, 679 Calculator

Given Input numbers are 642, 506, 538, 679

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

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 642, 506, 538, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 506, 538, 679 is 1.

Therefore, GCD of numbers 642, 506, 538, 679 is 1

Given Input Data is 642, 506, 538, 679

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 538 is 2 x 269

Prime Factorization of 679 is 7 x 97

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(642, 506) = 162426

GCD(642, 506) = ( 642 x 506 ) / 162426

GCD(642, 506) = 324852 / 162426

GCD(642, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

GCD of 642, 506, 538, 679 is 1

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• GCD of 404, 335, 737, 506
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1. What is the GCD of 642, 506, 538, 679?

GCD of 642, 506, 538, 679 is 1

2. Where do I get the detailed procedure to find GCD of 642, 506, 538, 679?

You can find a detailed procedure to find GCD of 642, 506, 538, 679 on our page.

3. How to find GCD of 642, 506, 538, 679 on a calculator?

You can find the GCD of 642, 506, 538, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.