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GCD of 339, 654, 507, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 339, 654, 507, 164 quickly. Get the easiest ways to solve the greatest common divisor of 339, 654, 507, 164 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 339, 654, 507, 164 with Factoring?

Given Input numbers are 339, 654, 507, 164

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (339, 654, 507, 164) = 1.

Find GCD of 339, 654, 507, 164 using Prime Factorization

Given numbers are 339, 654, 507, 164

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 654 are 2 x 3 x 109

Prime factors of 507 are 3 x 13 x 13

Prime factors of 164 are 2 x 2 x 41

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

Steps to Calculate GCD of 339, 654, 507, 164 using LCM Formula

Given numbers are 339, 654, 507, 164

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

Apply this formula for all numbers.

Step1:

LCM(339, 654) = 73902

GCD(339, 654) = ( 339 x 654 ) / 73902

= 339 / 654

= 339


Step2:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3


Step3:

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

= 3 / 164

= 3


So, Greatest Common Divisor of 339, 654, 507, 164 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 339, 654, 507, 164

Given numbers are 339, 654, 507, 164
The greatest common divisor of numbers 339, 654, 507, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 654, 507, 164 is 1.

FAQs on GCD of 339, 654, 507, 164 Calculator

1. What is the GCD of 339, 654, 507, 164?

GCD of given numbers 339, 654, 507, 164 is 1


2. How to calculate the greatest common divisor of 339, 654, 507, 164?

We can find the highest common divisor of 339, 654, 507, 164 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 339, 654, 507, 164 i.e 1.


3. How can I use the GCD of 339, 654, 507, 164Calculator?

Out the numbers 339, 654, 507, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.