GCD of 108, 342, 294 Calculator

Given Input numbers are 108, 342, 294

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (108, 342, 294) = 6.

Given numbers are 108, 342, 294

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 108, 342, 294 is 6.

Given numbers are 108, 342, 294

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

Apply this formula for all numbers.

Step1:

LCM(108, 342) = 2052

GCD(108, 342) = ( 108 x 342 ) / 2052

= 108 / 342

= 108

Step2:

LCM(18, 294) = 882

GCD(18, 294) = ( 18 x 294 ) / 882

= 18 / 294

= 18

So, Greatest Common Divisor of 108, 342, 294 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 341, 454
• GCD of 604, 499, 885
• GCD of 201, 180, 980
• GCD of 525, 691, 681
• GCD of 641, 512, 117

Given numbers are 108, 342, 294
The greatest common divisor of numbers 108, 342, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 342, 294 is 6.

1. What is the GCD of 108, 342, 294?

GCD of given numbers 108, 342, 294 is 6

2. How to calculate the greatest common divisor of 108, 342, 294?

We can find the highest common divisor of 108, 342, 294 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 108, 342, 294 i.e 6.

3. How can I use the GCD of 108, 342, 294Calculator?

Out the numbers 108, 342, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.