GCD of 108, 382, 198, 600 Calculator

Given Input numbers are 108, 382, 198, 600

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (108, 382, 198, 600) = 2.

Given numbers are 108, 382, 198, 600

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 382 are 2 x 191

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 108, 382, 198, 600 is 2.

Given numbers are 108, 382, 198, 600

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

Apply this formula for all numbers.

Step1:

LCM(108, 382) = 20628

GCD(108, 382) = ( 108 x 382 ) / 20628

= 108 / 382

= 108

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 108, 382, 198, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 877, 437, 707
• GCD of 511, 421, 341, 534
• GCD of 502, 757, 355, 620
• GCD of 808, 802, 568, 459
• GCD of 691, 860, 809, 503

Given numbers are 108, 382, 198, 600
The greatest common divisor of numbers 108, 382, 198, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 382, 198, 600 is 2.

1. What is the GCD of 108, 382, 198, 600?

GCD of given numbers 108, 382, 198, 600 is 2

2. How to calculate the greatest common divisor of 108, 382, 198, 600?

We can find the highest common divisor of 108, 382, 198, 600 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, 382, 198, 600 i.e 2.

3. How can I use the GCD of 108, 382, 198, 600Calculator?

Out the numbers 108, 382, 198, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.