GCD of 684, 408, 594, 198 Calculator

Given Input numbers are 684, 408, 594, 198

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 (684, 408, 594, 198) = 6.

Given numbers are 684, 408, 594, 198

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 684, 408, 594, 198 is 6.

Given numbers are 684, 408, 594, 198

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

Apply this formula for all numbers.

Step1:

LCM(684, 408) = 23256

GCD(684, 408) = ( 684 x 408 ) / 23256

= 684 / 408

= 684

Step2:

LCM(12, 594) = 1188

GCD(12, 594) = ( 12 x 594 ) / 1188

= 12 / 594

= 12

Step3:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

So, Greatest Common Divisor of 684, 408, 594, 198 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 382, 872, 149
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Given numbers are 684, 408, 594, 198
The greatest common divisor of numbers 684, 408, 594, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 408, 594, 198 is 6.

1. What is the GCD of 684, 408, 594, 198?

GCD of given numbers 684, 408, 594, 198 is 6

2. How to calculate the greatest common divisor of 684, 408, 594, 198?

We can find the highest common divisor of 684, 408, 594, 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 684, 408, 594, 198 i.e 6.

3. How can I use the GCD of 684, 408, 594, 198Calculator?

Out the numbers 684, 408, 594, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.