GCD of 231, 108, 183 Calculator

Given Input numbers are 231, 108, 183

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

GCD of numbers is the greatest common divisor

So, the GCD (231, 108, 183) = 3.

Given numbers are 231, 108, 183

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 183 are 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 231, 108, 183 is 3.

Given numbers are 231, 108, 183

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

Apply this formula for all numbers.

Step1:

LCM(231, 108) = 8316

GCD(231, 108) = ( 231 x 108 ) / 8316

= 231 / 108

= 231

Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3

So, Greatest Common Divisor of 231, 108, 183 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 555, 804
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• GCD of 214, 759, 883
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Given numbers are 231, 108, 183
The greatest common divisor of numbers 231, 108, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 108, 183 is 3.

1. What is the GCD of 231, 108, 183?

GCD of given numbers 231, 108, 183 is 3

2. How to calculate the greatest common divisor of 231, 108, 183?

We can find the highest common divisor of 231, 108, 183 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 231, 108, 183 i.e 3.

3. How can I use the GCD of 231, 108, 183Calculator?

Out the numbers 231, 108, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.