GCD of 609, 360, 904, 756 Calculator

Given Input numbers are 609, 360, 904, 756

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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

Greatest Common Divisior

We found the divisors of 609, 360, 904, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 360, 904, 756 is 1.

Therefore, GCD of numbers 609, 360, 904, 756 is 1

Given Input Data is 609, 360, 904, 756

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

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(609, 360) = 73080

GCD(609, 360) = ( 609 x 360 ) / 73080

GCD(609, 360) = 219240 / 73080

GCD(609, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 904

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

LCM(3, 904) = 2712

GCD(3, 904) = ( 3 x 904 ) / 2712

GCD(3, 904) = 2712 / 2712

GCD(3, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 609, 360, 904, 756 is 1

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1. What is the GCD of 609, 360, 904, 756?

GCD of 609, 360, 904, 756 is 1

2. Where do I get the detailed procedure to find GCD of 609, 360, 904, 756?

You can find a detailed procedure to find GCD of 609, 360, 904, 756 on our page.

3. How to find GCD of 609, 360, 904, 756 on a calculator?

You can find the GCD of 609, 360, 904, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.