GCD of 872, 762, 327, 759 Calculator

Given Input numbers are 872, 762, 327, 759

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

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 872, 762, 327, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 762, 327, 759 is 1.

Therefore, GCD of numbers 872, 762, 327, 759 is 1

Given Input Data is 872, 762, 327, 759

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 327 is 3 x 109

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(872, 762) = 332232

GCD(872, 762) = ( 872 x 762 ) / 332232

GCD(872, 762) = 664464 / 332232

GCD(872, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 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 872, 762, 327, 759 is 1

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1. What is the GCD of 872, 762, 327, 759?

GCD of 872, 762, 327, 759 is 1

2. Where do I get the detailed procedure to find GCD of 872, 762, 327, 759?

You can find a detailed procedure to find GCD of 872, 762, 327, 759 on our page.

3. How to find GCD of 872, 762, 327, 759 on a calculator?

You can find the GCD of 872, 762, 327, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.