GCD of 684, 957, 300, 980 Calculator

Given Input numbers are 684, 957, 300, 980

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

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 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 684, 957, 300, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 957, 300, 980 is 1.

Therefore, GCD of numbers 684, 957, 300, 980 is 1

Given Input Data is 684, 957, 300, 980

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

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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(684, 957) = 218196

GCD(684, 957) = ( 684 x 957 ) / 218196

GCD(684, 957) = 654588 / 218196

GCD(684, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 300

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

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

GCD(3, 300) = 900 / 300

GCD(3, 300) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 980

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

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

GCD(3, 980) = 2940 / 2940

GCD(3, 980) = 1

GCD of 684, 957, 300, 980 is 1

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1. What is the GCD of 684, 957, 300, 980?

GCD of 684, 957, 300, 980 is 1

2. Where do I get the detailed procedure to find GCD of 684, 957, 300, 980?

You can find a detailed procedure to find GCD of 684, 957, 300, 980 on our page.

3. How to find GCD of 684, 957, 300, 980 on a calculator?

You can find the GCD of 684, 957, 300, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.