GCD of 987, 107, 580, 646 Calculator

Given Input numbers are 987, 107, 580, 646

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 987, 107, 580, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 107, 580, 646 is 1.

Therefore, GCD of numbers 987, 107, 580, 646 is 1

Given Input Data is 987, 107, 580, 646

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 107 is 107

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 646 is 2 x 17 x 19

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(987, 107) = 105609

GCD(987, 107) = ( 987 x 107 ) / 105609

GCD(987, 107) = 105609 / 105609

GCD(987, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 987, 107, 580, 646 is 1

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1. What is the GCD of 987, 107, 580, 646?

GCD of 987, 107, 580, 646 is 1

2. Where do I get the detailed procedure to find GCD of 987, 107, 580, 646?

You can find a detailed procedure to find GCD of 987, 107, 580, 646 on our page.

3. How to find GCD of 987, 107, 580, 646 on a calculator?

You can find the GCD of 987, 107, 580, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.