GCD of 189, 363, 879 Calculator

Given Input numbers are 189, 363, 879

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

GCD of numbers is the greatest common divisor

So, the GCD (189, 363, 879) = 3.

Given numbers are 189, 363, 879

The list of prime factors of all numbers are

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

Prime factors of 363 are 3 x 11 x 11

Prime factors of 879 are 3 x 293

The highest common occurrence is 3¹

Therefore, GCD of 189, 363, 879 is 3.

Given numbers are 189, 363, 879

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

Apply this formula for all numbers.

Step1:

LCM(189, 363) = 22869

GCD(189, 363) = ( 189 x 363 ) / 22869

= 189 / 363

= 189

Step2:

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

= 3 / 879

= 3

So, Greatest Common Divisor of 189, 363, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 782, 203
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Given numbers are 189, 363, 879
The greatest common divisor of numbers 189, 363, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 363, 879 is 3.

1. What is the GCD of 189, 363, 879?

GCD of given numbers 189, 363, 879 is 3

2. How to calculate the greatest common divisor of 189, 363, 879?

We can find the highest common divisor of 189, 363, 879 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, 363, 879 i.e 3.

3. How can I use the GCD of 189, 363, 879Calculator?

Out the numbers 189, 363, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.