GCD of 313, 756, 97, 117 Calculator

Given Input numbers are 313, 756, 97, 117

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 313, 756, 97, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 756, 97, 117 is 1.

Therefore, GCD of numbers 313, 756, 97, 117 is 1

Given Input Data is 313, 756, 97, 117

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

Prime Factorization of 313 is 313

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 97 is 97

Prime Factorization of 117 is 3 x 3 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(313, 756) = 236628

GCD(313, 756) = ( 313 x 756 ) / 236628

GCD(313, 756) = 236628 / 236628

GCD(313, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 313, 756, 97, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 783, 21, 757
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1. What is the GCD of 313, 756, 97, 117?

GCD of 313, 756, 97, 117 is 1

2. Where do I get the detailed procedure to find GCD of 313, 756, 97, 117?

You can find a detailed procedure to find GCD of 313, 756, 97, 117 on our page.

3. How to find GCD of 313, 756, 97, 117 on a calculator?

You can find the GCD of 313, 756, 97, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.