GCD of 339, 369, 108 Calculator

Given Input numbers are 339, 369, 108

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (339, 369, 108) = 3.

Given numbers are 339, 369, 108

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 369 are 3 x 3 x 41

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 339, 369, 108 is 3.

Given numbers are 339, 369, 108

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

Apply this formula for all numbers.

Step1:

LCM(339, 369) = 41697

GCD(339, 369) = ( 339 x 369 ) / 41697

= 339 / 369

= 339

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 339, 369, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 195, 741
• GCD of 191, 661, 800
• GCD of 628, 215, 636
• GCD of 391, 760, 899
• GCD of 932, 906, 697

Given numbers are 339, 369, 108
The greatest common divisor of numbers 339, 369, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 369, 108 is 3.

1. What is the GCD of 339, 369, 108?

GCD of given numbers 339, 369, 108 is 3

2. How to calculate the greatest common divisor of 339, 369, 108?

We can find the highest common divisor of 339, 369, 108 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, 369, 108 i.e 3.

3. How can I use the GCD of 339, 369, 108Calculator?

Out the numbers 339, 369, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.