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GCD of 654, 939, 336, 711 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 939, 336, 711 quickly. Get the easiest ways to solve the greatest common divisor of 654, 939, 336, 711 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 939, 336, 711 with Factoring?

Given Input numbers are 654, 939, 336, 711

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

Divisors of 654 :

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

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

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711


GCD of numbers is the greatest common divisor

So, the GCD (654, 939, 336, 711) = 3.

Find GCD of 654, 939, 336, 711 using Prime Factorization

Given numbers are 654, 939, 336, 711

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 939 are 3 x 313

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 711 are 3 x 3 x 79

The highest common occurrence is 31

Therefore, GCD of 654, 939, 336, 711 is 3.

Steps to Calculate GCD of 654, 939, 336, 711 using LCM Formula

Given numbers are 654, 939, 336, 711

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

Apply this formula for all numbers.

Step1:

LCM(654, 939) = 204702

GCD(654, 939) = ( 654 x 939 ) / 204702

= 654 / 939

= 654


Step2:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3


Step3:

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

= 3 / 711

= 3


So, Greatest Common Divisor of 654, 939, 336, 711 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 939, 336, 711

Given numbers are 654, 939, 336, 711
The greatest common divisor of numbers 654, 939, 336, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 939, 336, 711 is 3.

FAQs on GCD of 654, 939, 336, 711 Calculator

1. What is the GCD of 654, 939, 336, 711?

GCD of given numbers 654, 939, 336, 711 is 3


2. How to calculate the greatest common divisor of 654, 939, 336, 711?

We can find the highest common divisor of 654, 939, 336, 711 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 654, 939, 336, 711 i.e 3.


3. How can I use the GCD of 654, 939, 336, 711Calculator?

Out the numbers 654, 939, 336, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.