GCD of 228, 351, 108, 117 Calculator

Given Input numbers are 228, 351, 108, 117

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (228, 351, 108, 117) = 3.

Given numbers are 228, 351, 108, 117

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 351 are 3 x 3 x 3 x 13

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

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 228, 351, 108, 117 is 3.

Given numbers are 228, 351, 108, 117

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

Apply this formula for all numbers.

Step1:

LCM(228, 351) = 26676

GCD(228, 351) = ( 228 x 351 ) / 26676

= 228 / 351

= 228

Step2:

LCM(3, 108) = 108

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

= 3 / 108

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 228, 351, 108, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 897, 486, 862
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Given numbers are 228, 351, 108, 117
The greatest common divisor of numbers 228, 351, 108, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 351, 108, 117 is 3.

1. What is the GCD of 228, 351, 108, 117?

GCD of given numbers 228, 351, 108, 117 is 3

2. How to calculate the greatest common divisor of 228, 351, 108, 117?

We can find the highest common divisor of 228, 351, 108, 117 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 228, 351, 108, 117 i.e 3.

3. How can I use the GCD of 228, 351, 108, 117Calculator?

Out the numbers 228, 351, 108, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.