GCD of 126, 204, 418, 189 Calculator

Given Input numbers are 126, 204, 418, 189

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 189 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (126, 204, 418, 189) = 1.

Given numbers are 126, 204, 418, 189

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 418 are 2 x 11 x 19

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

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

Given numbers are 126, 204, 418, 189

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

Apply this formula for all numbers.

Step1:

LCM(126, 204) = 4284

GCD(126, 204) = ( 126 x 204 ) / 4284

= 126 / 204

= 126

Step2:

LCM(6, 418) = 1254

GCD(6, 418) = ( 6 x 418 ) / 1254

= 6 / 418

= 6

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 126, 204, 418, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 232, 808, 308
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Given numbers are 126, 204, 418, 189
The greatest common divisor of numbers 126, 204, 418, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 204, 418, 189 is 1.

1. What is the GCD of 126, 204, 418, 189?

GCD of given numbers 126, 204, 418, 189 is 1

2. How to calculate the greatest common divisor of 126, 204, 418, 189?

We can find the highest common divisor of 126, 204, 418, 189 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 126, 204, 418, 189 i.e 1.

3. How can I use the GCD of 126, 204, 418, 189Calculator?

Out the numbers 126, 204, 418, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.