GCD of 117, 990, 786, 684 Calculator

Given Input numbers are 117, 990, 786, 684

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 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

Greatest Common Divisior

We found the divisors of 117, 990, 786, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 990, 786, 684 is 3.

Therefore, GCD of numbers 117, 990, 786, 684 is 3

Given Input Data is 117, 990, 786, 684

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 786 is 2 x 3 x 131

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(117, 990) = 12870

GCD(117, 990) = ( 117 x 990 ) / 12870

GCD(117, 990) = 115830 / 12870

GCD(117, 990) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 786

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

LCM(9, 786) = 2358

GCD(9, 786) = ( 9 x 786 ) / 2358

GCD(9, 786) = 7074 / 2358

GCD(9, 786) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 684

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

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

GCD(3, 684) = 2052 / 684

GCD(3, 684) = 3

GCD of 117, 990, 786, 684 is 3

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1. What is the GCD of 117, 990, 786, 684?

GCD of 117, 990, 786, 684 is 3

2. Where do I get the detailed procedure to find GCD of 117, 990, 786, 684?

You can find a detailed procedure to find GCD of 117, 990, 786, 684 on our page.

3. How to find GCD of 117, 990, 786, 684 on a calculator?

You can find the GCD of 117, 990, 786, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.