GCD of 786, 108, 980 Calculator

Given Input numbers are 786, 108, 980

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 786, 108, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 108, 980 is 2.

Therefore, GCD of numbers 786, 108, 980 is 2

Given Input Data is 786, 108, 980

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(786, 108) = 14148

GCD(786, 108) = ( 786 x 108 ) / 14148

GCD(786, 108) = 84888 / 14148

GCD(786, 108) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 980

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

LCM(6, 980) = 2940

GCD(6, 980) = ( 6 x 980 ) / 2940

GCD(6, 980) = 5880 / 2940

GCD(6, 980) = 2

GCD of 786, 108, 980 is 2

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1. What is the GCD of 786, 108, 980?

GCD of 786, 108, 980 is 2

2. Where do I get the detailed procedure to find GCD of 786, 108, 980?

You can find a detailed procedure to find GCD of 786, 108, 980 on our page.

3. How to find GCD of 786, 108, 980 on a calculator?

You can find the GCD of 786, 108, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.