GCD of 231, 150, 406, 204 Calculator

Given Input numbers are 231, 150, 406, 204

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

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

GCD of numbers is the greatest common divisor

So, the GCD (231, 150, 406, 204) = 1.

Given numbers are 231, 150, 406, 204

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 406 are 2 x 7 x 29

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

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

Given numbers are 231, 150, 406, 204

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

Apply this formula for all numbers.

Step1:

LCM(231, 150) = 11550

GCD(231, 150) = ( 231 x 150 ) / 11550

= 231 / 150

= 231

Step2:

LCM(3, 406) = 1218

GCD(3, 406) = ( 3 x 406 ) / 1218

= 3 / 406

= 3

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 231, 150, 406, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 844, 141, 729
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Given numbers are 231, 150, 406, 204
The greatest common divisor of numbers 231, 150, 406, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 150, 406, 204 is 1.

1. What is the GCD of 231, 150, 406, 204?

GCD of given numbers 231, 150, 406, 204 is 1

2. How to calculate the greatest common divisor of 231, 150, 406, 204?

We can find the highest common divisor of 231, 150, 406, 204 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 231, 150, 406, 204 i.e 1.

3. How can I use the GCD of 231, 150, 406, 204Calculator?

Out the numbers 231, 150, 406, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.