GCD of 691, 318, 780, 312 Calculator

Given Input numbers are 691, 318, 780, 312

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

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 691, 318, 780, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 318, 780, 312 is 1.

Therefore, GCD of numbers 691, 318, 780, 312 is 1

Given Input Data is 691, 318, 780, 312

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

Prime Factorization of 691 is 691

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 312 is 2 x 2 x 2 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(691, 318) = 219738

GCD(691, 318) = ( 691 x 318 ) / 219738

GCD(691, 318) = 219738 / 219738

GCD(691, 318) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 691, 318, 780, 312 is 1

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1. What is the GCD of 691, 318, 780, 312?

GCD of 691, 318, 780, 312 is 1

2. Where do I get the detailed procedure to find GCD of 691, 318, 780, 312?

You can find a detailed procedure to find GCD of 691, 318, 780, 312 on our page.

3. How to find GCD of 691, 318, 780, 312 on a calculator?

You can find the GCD of 691, 318, 780, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.