GCD of 756, 873, 921, 664 Calculator

Given Input numbers are 756, 873, 921, 664

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 756, 873, 921, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 873, 921, 664 is 1.

Therefore, GCD of numbers 756, 873, 921, 664 is 1

Given Input Data is 756, 873, 921, 664

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 873 is 3 x 3 x 97

Prime Factorization of 921 is 3 x 307

Prime Factorization of 664 is 2 x 2 x 2 x 83

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, 873) = 73332

GCD(756, 873) = ( 756 x 873 ) / 73332

GCD(756, 873) = 659988 / 73332

GCD(756, 873) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 921

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

LCM(9, 921) = 2763

GCD(9, 921) = ( 9 x 921 ) / 2763

GCD(9, 921) = 8289 / 2763

GCD(9, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 664

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

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

GCD(3, 664) = 1992 / 1992

GCD(3, 664) = 1

GCD of 756, 873, 921, 664 is 1

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1. What is the GCD of 756, 873, 921, 664?

GCD of 756, 873, 921, 664 is 1

2. Where do I get the detailed procedure to find GCD of 756, 873, 921, 664?

You can find a detailed procedure to find GCD of 756, 873, 921, 664 on our page.

3. How to find GCD of 756, 873, 921, 664 on a calculator?

You can find the GCD of 756, 873, 921, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.