GCD of 756, 609, 76 Calculator

Given Input numbers are 756, 609, 76

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 609

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

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 756, 609, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 609, 76 is 1.

Therefore, GCD of numbers 756, 609, 76 is 1

Given Input Data is 756, 609, 76

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 609 is 3 x 7 x 29

Prime Factorization of 76 is 2 x 2 x 19

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, 609) = 21924

GCD(756, 609) = ( 756 x 609 ) / 21924

GCD(756, 609) = 460404 / 21924

GCD(756, 609) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 76

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

LCM(21, 76) = 1596

GCD(21, 76) = ( 21 x 76 ) / 1596

GCD(21, 76) = 1596 / 1596

GCD(21, 76) = 1

GCD of 756, 609, 76 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 511, 63
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• GCD of 720, 673, 87
• GCD of 846, 755, 22

1. What is the GCD of 756, 609, 76?

GCD of 756, 609, 76 is 1

2. Where do I get the detailed procedure to find GCD of 756, 609, 76?

You can find a detailed procedure to find GCD of 756, 609, 76 on our page.

3. How to find GCD of 756, 609, 76 on a calculator?

You can find the GCD of 756, 609, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.