GCD of 116, 568, 351, 142 Calculator

Given Input numbers are 116, 568, 351, 142

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 116, 568, 351, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 568, 351, 142 is 1.

Therefore, GCD of numbers 116, 568, 351, 142 is 1

Given Input Data is 116, 568, 351, 142

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 142 is 2 x 71

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(116, 568) = 16472

GCD(116, 568) = ( 116 x 568 ) / 16472

GCD(116, 568) = 65888 / 16472

GCD(116, 568) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 351

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

LCM(4, 351) = 1404

GCD(4, 351) = ( 4 x 351 ) / 1404

GCD(4, 351) = 1404 / 1404

GCD(4, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 116, 568, 351, 142 is 1

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1. What is the GCD of 116, 568, 351, 142?

GCD of 116, 568, 351, 142 is 1

2. Where do I get the detailed procedure to find GCD of 116, 568, 351, 142?

You can find a detailed procedure to find GCD of 116, 568, 351, 142 on our page.

3. How to find GCD of 116, 568, 351, 142 on a calculator?

You can find the GCD of 116, 568, 351, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.