GCD of 516, 765, 957, 631 Calculator

Given Input numbers are 516, 765, 957, 631

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 516, 765, 957, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 765, 957, 631 is 1.

Therefore, GCD of numbers 516, 765, 957, 631 is 1

Given Input Data is 516, 765, 957, 631

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 631 is 631

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(516, 765) = 131580

GCD(516, 765) = ( 516 x 765 ) / 131580

GCD(516, 765) = 394740 / 131580

GCD(516, 765) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 957

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

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

GCD(3, 957) = 2871 / 957

GCD(3, 957) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

GCD of 516, 765, 957, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 352, 847, 468
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• GCD of 615, 176, 432, 511
• GCD of 341, 129, 339, 231

1. What is the GCD of 516, 765, 957, 631?

GCD of 516, 765, 957, 631 is 1

2. Where do I get the detailed procedure to find GCD of 516, 765, 957, 631?

You can find a detailed procedure to find GCD of 516, 765, 957, 631 on our page.

3. How to find GCD of 516, 765, 957, 631 on a calculator?

You can find the GCD of 516, 765, 957, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.