GCD of 115, 780, 617, 116 Calculator

Given Input numbers are 115, 780, 617, 116

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

Divisors of 115

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

1, 5, 23, 115

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 115, 780, 617, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 780, 617, 116 is 1.

Therefore, GCD of numbers 115, 780, 617, 116 is 1

Given Input Data is 115, 780, 617, 116

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 617 is 617

Prime Factorization of 116 is 2 x 2 x 29

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(115, 780) = 17940

GCD(115, 780) = ( 115 x 780 ) / 17940

GCD(115, 780) = 89700 / 17940

GCD(115, 780) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 617

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

LCM(5, 617) = 3085

GCD(5, 617) = ( 5 x 617 ) / 3085

GCD(5, 617) = 3085 / 3085

GCD(5, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 115, 780, 617, 116 is 1

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1. What is the GCD of 115, 780, 617, 116?

GCD of 115, 780, 617, 116 is 1

2. Where do I get the detailed procedure to find GCD of 115, 780, 617, 116?

You can find a detailed procedure to find GCD of 115, 780, 617, 116 on our page.

3. How to find GCD of 115, 780, 617, 116 on a calculator?

You can find the GCD of 115, 780, 617, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.