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GCD of 322, 656, 780, 231 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 322, 656, 780, 231 quickly. Get the easiest ways to solve the greatest common divisor of 322, 656, 780, 231 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 322, 656, 780, 231 with Factoring?

Given Input numbers are 322, 656, 780, 231

In the factoring method, we have to find the divisors of all numbers

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231


GCD of numbers is the greatest common divisor

So, the GCD (322, 656, 780, 231) = 1.

Find GCD of 322, 656, 780, 231 using Prime Factorization

Given numbers are 322, 656, 780, 231

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 231 are 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 322, 656, 780, 231 using LCM Formula

Given numbers are 322, 656, 780, 231

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(322, 656) = 105616

GCD(322, 656) = ( 322 x 656 ) / 105616

= 322 / 656

= 322


Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2


Step3:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2


So, Greatest Common Divisor of 322, 656, 780, 231 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 322, 656, 780, 231

Given numbers are 322, 656, 780, 231
The greatest common divisor of numbers 322, 656, 780, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 656, 780, 231 is 1.

FAQs on GCD of 322, 656, 780, 231 Calculator

1. What is the GCD of 322, 656, 780, 231?

GCD of given numbers 322, 656, 780, 231 is 1


2. How to calculate the greatest common divisor of 322, 656, 780, 231?

We can find the highest common divisor of 322, 656, 780, 231 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 322, 656, 780, 231 i.e 1.


3. How can I use the GCD of 322, 656, 780, 231Calculator?

Out the numbers 322, 656, 780, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.