GCD of 642, 568, 83, 251 Calculator

Given Input numbers are 642, 568, 83, 251

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 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 642, 568, 83, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 568, 83, 251 is 1.

Therefore, GCD of numbers 642, 568, 83, 251 is 1

Given Input Data is 642, 568, 83, 251

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 568 is 2 x 2 x 2 x 71

Prime Factorization of 83 is 83

Prime Factorization of 251 is 251

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, 568) = 182328

GCD(642, 568) = ( 642 x 568 ) / 182328

GCD(642, 568) = 364656 / 182328

GCD(642, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 642, 568, 83, 251 is 1

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1. What is the GCD of 642, 568, 83, 251?

GCD of 642, 568, 83, 251 is 1

2. Where do I get the detailed procedure to find GCD of 642, 568, 83, 251?

You can find a detailed procedure to find GCD of 642, 568, 83, 251 on our page.

3. How to find GCD of 642, 568, 83, 251 on a calculator?

You can find the GCD of 642, 568, 83, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.