GCD of 189, 876, 228 Calculator

Given Input numbers are 189, 876, 228

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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

GCD of numbers is the greatest common divisor

So, the GCD (189, 876, 228) = 3.

Given numbers are 189, 876, 228

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 876 are 2 x 2 x 3 x 73

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

The highest common occurrence is 3¹

Therefore, GCD of 189, 876, 228 is 3.

Given numbers are 189, 876, 228

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

Apply this formula for all numbers.

Step1:

LCM(189, 876) = 55188

GCD(189, 876) = ( 189 x 876 ) / 55188

= 189 / 876

= 189

Step2:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 189, 876, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 199, 611
• GCD of 850, 882, 838
• GCD of 224, 658, 312
• GCD of 203, 571, 919
• GCD of 667, 701, 170

Given numbers are 189, 876, 228
The greatest common divisor of numbers 189, 876, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 876, 228 is 3.

1. What is the GCD of 189, 876, 228?

GCD of given numbers 189, 876, 228 is 3

2. How to calculate the greatest common divisor of 189, 876, 228?

We can find the highest common divisor of 189, 876, 228 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 189, 876, 228 i.e 3.

3. How can I use the GCD of 189, 876, 228Calculator?

Out the numbers 189, 876, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.