GCD of 142, 684, 567, 845 Calculator

Given Input numbers are 142, 684, 567, 845

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 142, 684, 567, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 684, 567, 845 is 1.

Therefore, GCD of numbers 142, 684, 567, 845 is 1

Given Input Data is 142, 684, 567, 845

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 845 is 5 x 13 x 13

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(142, 684) = 48564

GCD(142, 684) = ( 142 x 684 ) / 48564

GCD(142, 684) = 97128 / 48564

GCD(142, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 142, 684, 567, 845 is 1

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1. What is the GCD of 142, 684, 567, 845?

GCD of 142, 684, 567, 845 is 1

2. Where do I get the detailed procedure to find GCD of 142, 684, 567, 845?

You can find a detailed procedure to find GCD of 142, 684, 567, 845 on our page.

3. How to find GCD of 142, 684, 567, 845 on a calculator?

You can find the GCD of 142, 684, 567, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.