GCD of 108, 875, 644, 198 Calculator

Given Input numbers are 108, 875, 644, 198

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 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (108, 875, 644, 198) = 1.

Given numbers are 108, 875, 644, 198

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 875 are 5 x 5 x 5 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 198 are 2 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 875, 644, 198

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

Apply this formula for all numbers.

Step1:

LCM(108, 875) = 94500

GCD(108, 875) = ( 108 x 875 ) / 94500

= 108 / 875

= 108

Step2:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 108, 875, 644, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 555, 121, 721
• GCD of 670, 163, 296, 219
• GCD of 971, 417, 891, 947
• GCD of 178, 259, 641, 261
• GCD of 454, 268, 620, 156

Given numbers are 108, 875, 644, 198
The greatest common divisor of numbers 108, 875, 644, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 875, 644, 198 is 1.

1. What is the GCD of 108, 875, 644, 198?

GCD of given numbers 108, 875, 644, 198 is 1

2. How to calculate the greatest common divisor of 108, 875, 644, 198?

We can find the highest common divisor of 108, 875, 644, 198 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, 875, 644, 198 i.e 1.

3. How can I use the GCD of 108, 875, 644, 198Calculator?

Out the numbers 108, 875, 644, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.