GCD of 118, 713, 79, 130 Calculator

Given Input numbers are 118, 713, 79, 130

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 118, 713, 79, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 713, 79, 130 is 1.

Therefore, GCD of numbers 118, 713, 79, 130 is 1

Given Input Data is 118, 713, 79, 130

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 713 is 23 x 31

Prime Factorization of 79 is 79

Prime Factorization of 130 is 2 x 5 x 13

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(118, 713) = 84134

GCD(118, 713) = ( 118 x 713 ) / 84134

GCD(118, 713) = 84134 / 84134

GCD(118, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 118, 713, 79, 130 is 1

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1. What is the GCD of 118, 713, 79, 130?

GCD of 118, 713, 79, 130 is 1

2. Where do I get the detailed procedure to find GCD of 118, 713, 79, 130?

You can find a detailed procedure to find GCD of 118, 713, 79, 130 on our page.

3. How to find GCD of 118, 713, 79, 130 on a calculator?

You can find the GCD of 118, 713, 79, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.