GCD of 756, 992, 485, 937 Calculator

Given Input numbers are 756, 992, 485, 937

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

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

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 756, 992, 485, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 992, 485, 937 is 1.

Therefore, GCD of numbers 756, 992, 485, 937 is 1

Given Input Data is 756, 992, 485, 937

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

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 485 is 5 x 97

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(756, 992) = 187488

GCD(756, 992) = ( 756 x 992 ) / 187488

GCD(756, 992) = 749952 / 187488

GCD(756, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 485

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

LCM(4, 485) = 1940

GCD(4, 485) = ( 4 x 485 ) / 1940

GCD(4, 485) = 1940 / 1940

GCD(4, 485) = 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 756, 992, 485, 937 is 1

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1. What is the GCD of 756, 992, 485, 937?

GCD of 756, 992, 485, 937 is 1

2. Where do I get the detailed procedure to find GCD of 756, 992, 485, 937?

You can find a detailed procedure to find GCD of 756, 992, 485, 937 on our page.

3. How to find GCD of 756, 992, 485, 937 on a calculator?

You can find the GCD of 756, 992, 485, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.