GCD of 312, 765, 769, 937 Calculator

Given Input numbers are 312, 765, 769, 937

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

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

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Greatest Common Divisior

We found the divisors of 312, 765, 769, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 765, 769, 937 is 1.

Therefore, GCD of numbers 312, 765, 769, 937 is 1

Given Input Data is 312, 765, 769, 937

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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

Prime Factorization of 769 is 769

Prime Factorization of 937 is 937

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(312, 765) = 79560

GCD(312, 765) = ( 312 x 765 ) / 79560

GCD(312, 765) = 238680 / 79560

GCD(312, 765) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 769

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

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

GCD(3, 769) = 2307 / 2307

GCD(3, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 937

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

LCM(1, 937) = 937

GCD(1, 937) = ( 1 x 937 ) / 937

GCD(1, 937) = 937 / 937

GCD(1, 937) = 1

GCD of 312, 765, 769, 937 is 1

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1. What is the GCD of 312, 765, 769, 937?

GCD of 312, 765, 769, 937 is 1

2. Where do I get the detailed procedure to find GCD of 312, 765, 769, 937?

You can find a detailed procedure to find GCD of 312, 765, 769, 937 on our page.

3. How to find GCD of 312, 765, 769, 937 on a calculator?

You can find the GCD of 312, 765, 769, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.