GCD of 684, 718, 50, 115 Calculator

Given Input numbers are 684, 718, 50, 115

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 684, 718, 50, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 718, 50, 115 is 1.

Therefore, GCD of numbers 684, 718, 50, 115 is 1

Given Input Data is 684, 718, 50, 115

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 718 is 2 x 359

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 115 is 5 x 23

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, 718) = 245556

GCD(684, 718) = ( 684 x 718 ) / 245556

GCD(684, 718) = 491112 / 245556

GCD(684, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 115

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

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

GCD(2, 115) = 230 / 230

GCD(2, 115) = 1

GCD of 684, 718, 50, 115 is 1

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1. What is the GCD of 684, 718, 50, 115?

GCD of 684, 718, 50, 115 is 1

2. Where do I get the detailed procedure to find GCD of 684, 718, 50, 115?

You can find a detailed procedure to find GCD of 684, 718, 50, 115 on our page.

3. How to find GCD of 684, 718, 50, 115 on a calculator?

You can find the GCD of 684, 718, 50, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.