GCD of 108, 372, 189, 837 Calculator

Given Input numbers are 108, 372, 189, 837

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

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 189 :

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

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

GCD of numbers is the greatest common divisor

So, the GCD (108, 372, 189, 837) = 3.

Given numbers are 108, 372, 189, 837

The list of prime factors of all numbers are

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

Prime factors of 372 are 2 x 2 x 3 x 31

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

Prime factors of 837 are 3 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 108, 372, 189, 837 is 3.

Given numbers are 108, 372, 189, 837

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

Apply this formula for all numbers.

Step1:

LCM(108, 372) = 3348

GCD(108, 372) = ( 108 x 372 ) / 3348

= 108 / 372

= 108

Step2:

LCM(12, 189) = 756

GCD(12, 189) = ( 12 x 189 ) / 756

= 12 / 189

= 12

Step3:

LCM(3, 837) = 837

GCD(3, 837) = ( 3 x 837 ) / 837

= 3 / 837

= 3

So, Greatest Common Divisor of 108, 372, 189, 837 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 967, 704, 448
• GCD of 423, 152, 382, 159
• GCD of 635, 859, 966, 797
• GCD of 932, 116, 293, 228
• GCD of 787, 832, 463, 675

Given numbers are 108, 372, 189, 837
The greatest common divisor of numbers 108, 372, 189, 837 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 372, 189, 837 is 3.

1. What is the GCD of 108, 372, 189, 837?

GCD of given numbers 108, 372, 189, 837 is 3

2. How to calculate the greatest common divisor of 108, 372, 189, 837?

We can find the highest common divisor of 108, 372, 189, 837 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 108, 372, 189, 837 i.e 3.

3. How can I use the GCD of 108, 372, 189, 837Calculator?

Out the numbers 108, 372, 189, 837 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.