GCD of 228, 378, 102 Calculator

Given Input numbers are 228, 378, 102

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (228, 378, 102) = 6.

Given numbers are 228, 378, 102

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 228, 378, 102 is 6.

Given numbers are 228, 378, 102

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

Apply this formula for all numbers.

Step1:

LCM(228, 378) = 14364

GCD(228, 378) = ( 228 x 378 ) / 14364

= 228 / 378

= 228

Step2:

LCM(6, 102) = 102

GCD(6, 102) = ( 6 x 102 ) / 102

= 6 / 102

= 6

So, Greatest Common Divisor of 228, 378, 102 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 402, 167
• GCD of 386, 433, 795
• GCD of 882, 147, 718
• GCD of 424, 195, 494
• GCD of 159, 112, 783

Given numbers are 228, 378, 102
The greatest common divisor of numbers 228, 378, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 378, 102 is 6.

1. What is the GCD of 228, 378, 102?

GCD of given numbers 228, 378, 102 is 6

2. How to calculate the greatest common divisor of 228, 378, 102?

We can find the highest common divisor of 228, 378, 102 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, 378, 102 i.e 6.

3. How can I use the GCD of 228, 378, 102Calculator?

Out the numbers 228, 378, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.