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GCD of 738, 777, 939, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 777, 939, 684 quickly. Get the easiest ways to solve the greatest common divisor of 738, 777, 939, 684 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 777, 939, 684 with Factoring?

Given Input numbers are 738, 777, 939, 684

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 939 :

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

1, 3, 313, 939

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (738, 777, 939, 684) = 3.

Find GCD of 738, 777, 939, 684 using Prime Factorization

Given numbers are 738, 777, 939, 684

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 777 are 3 x 7 x 37

Prime factors of 939 are 3 x 313

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 31

Therefore, GCD of 738, 777, 939, 684 is 3.

Steps to Calculate GCD of 738, 777, 939, 684 using LCM Formula

Given numbers are 738, 777, 939, 684

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

Apply this formula for all numbers.

Step1:

LCM(738, 777) = 191142

GCD(738, 777) = ( 738 x 777 ) / 191142

= 738 / 777

= 738


Step2:

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

= 3 / 939

= 3


Step3:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3


So, Greatest Common Divisor of 738, 777, 939, 684 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 777, 939, 684

Given numbers are 738, 777, 939, 684
The greatest common divisor of numbers 738, 777, 939, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 777, 939, 684 is 3.

FAQs on GCD of 738, 777, 939, 684 Calculator

1. What is the GCD of 738, 777, 939, 684?

GCD of given numbers 738, 777, 939, 684 is 3


2. How to calculate the greatest common divisor of 738, 777, 939, 684?

We can find the highest common divisor of 738, 777, 939, 684 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 738, 777, 939, 684 i.e 3.


3. How can I use the GCD of 738, 777, 939, 684Calculator?

Out the numbers 738, 777, 939, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.