GCD of 489, 756, 44, 759 Calculator

Given Input numbers are 489, 756, 44, 759

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 489, 756, 44, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 756, 44, 759 is 1.

Therefore, GCD of numbers 489, 756, 44, 759 is 1

Given Input Data is 489, 756, 44, 759

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

Prime Factorization of 489 is 3 x 163

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 759 is 3 x 11 x 23

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(489, 756) = 123228

GCD(489, 756) = ( 489 x 756 ) / 123228

GCD(489, 756) = 369684 / 123228

GCD(489, 756) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 489, 756, 44, 759 is 1

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1. What is the GCD of 489, 756, 44, 759?

GCD of 489, 756, 44, 759 is 1

2. Where do I get the detailed procedure to find GCD of 489, 756, 44, 759?

You can find a detailed procedure to find GCD of 489, 756, 44, 759 on our page.

3. How to find GCD of 489, 756, 44, 759 on a calculator?

You can find the GCD of 489, 756, 44, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.