GCD of 339, 465, 789, 637 Calculator

Given Input numbers are 339, 465, 789, 637

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 789

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

1, 3, 263, 789

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 339, 465, 789, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 465, 789, 637 is 1.

Therefore, GCD of numbers 339, 465, 789, 637 is 1

Given Input Data is 339, 465, 789, 637

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 789 is 3 x 263

Prime Factorization of 637 is 7 x 7 x 13

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(339, 465) = 52545

GCD(339, 465) = ( 339 x 465 ) / 52545

GCD(339, 465) = 157635 / 52545

GCD(339, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 789

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

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

GCD(3, 789) = 2367 / 789

GCD(3, 789) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 637

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

LCM(3, 637) = 1911

GCD(3, 637) = ( 3 x 637 ) / 1911

GCD(3, 637) = 1911 / 1911

GCD(3, 637) = 1

GCD of 339, 465, 789, 637 is 1

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1. What is the GCD of 339, 465, 789, 637?

GCD of 339, 465, 789, 637 is 1

2. Where do I get the detailed procedure to find GCD of 339, 465, 789, 637?

You can find a detailed procedure to find GCD of 339, 465, 789, 637 on our page.

3. How to find GCD of 339, 465, 789, 637 on a calculator?

You can find the GCD of 339, 465, 789, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.