GCD of 116, 667, 981, 679 Calculator

Given Input numbers are 116, 667, 981, 679

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

Divisors of 116

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

1, 2, 4, 29, 58, 116

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 116, 667, 981, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 667, 981, 679 is 1.

Therefore, GCD of numbers 116, 667, 981, 679 is 1

Given Input Data is 116, 667, 981, 679

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 667 is 23 x 29

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 679 is 7 x 97

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(116, 667) = 2668

GCD(116, 667) = ( 116 x 667 ) / 2668

GCD(116, 667) = 77372 / 2668

GCD(116, 667) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 981

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

LCM(29, 981) = 28449

GCD(29, 981) = ( 29 x 981 ) / 28449

GCD(29, 981) = 28449 / 28449

GCD(29, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 116, 667, 981, 679 is 1

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1. What is the GCD of 116, 667, 981, 679?

GCD of 116, 667, 981, 679 is 1

2. Where do I get the detailed procedure to find GCD of 116, 667, 981, 679?

You can find a detailed procedure to find GCD of 116, 667, 981, 679 on our page.

3. How to find GCD of 116, 667, 981, 679 on a calculator?

You can find the GCD of 116, 667, 981, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.