GCD of 116, 644, 80, 913 Calculator

Given Input numbers are 116, 644, 80, 913

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 116, 644, 80, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 644, 80, 913 is 1.

Therefore, GCD of numbers 116, 644, 80, 913 is 1

Given Input Data is 116, 644, 80, 913

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 913 is 11 x 83

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, 644) = 18676

GCD(116, 644) = ( 116 x 644 ) / 18676

GCD(116, 644) = 74704 / 18676

GCD(116, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 913

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

LCM(4, 913) = 3652

GCD(4, 913) = ( 4 x 913 ) / 3652

GCD(4, 913) = 3652 / 3652

GCD(4, 913) = 1

GCD of 116, 644, 80, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 235, 42, 291
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• GCD of 597, 815, 65, 135

1. What is the GCD of 116, 644, 80, 913?

GCD of 116, 644, 80, 913 is 1

2. Where do I get the detailed procedure to find GCD of 116, 644, 80, 913?

You can find a detailed procedure to find GCD of 116, 644, 80, 913 on our page.

3. How to find GCD of 116, 644, 80, 913 on a calculator?

You can find the GCD of 116, 644, 80, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.