GCD of 789, 324, 959 Calculator

Given Input numbers are 789, 324, 959

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 789, 324, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 324, 959 is 1.

Therefore, GCD of numbers 789, 324, 959 is 1

Given Input Data is 789, 324, 959

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 959 is 7 x 137

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(789, 324) = 85212

GCD(789, 324) = ( 789 x 324 ) / 85212

GCD(789, 324) = 255636 / 85212

GCD(789, 324) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 959

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

LCM(3, 959) = 2877

GCD(3, 959) = ( 3 x 959 ) / 2877

GCD(3, 959) = 2877 / 2877

GCD(3, 959) = 1

GCD of 789, 324, 959 is 1

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1. What is the GCD of 789, 324, 959?

GCD of 789, 324, 959 is 1

2. Where do I get the detailed procedure to find GCD of 789, 324, 959?

You can find a detailed procedure to find GCD of 789, 324, 959 on our page.

3. How to find GCD of 789, 324, 959 on a calculator?

You can find the GCD of 789, 324, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.