GCD of 231, 459, 205, 429 Calculator

Given Input numbers are 231, 459, 205, 429

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 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (231, 459, 205, 429) = 1.

Given numbers are 231, 459, 205, 429

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 205 are 5 x 41

Prime factors of 429 are 3 x 11 x 13

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

Given numbers are 231, 459, 205, 429

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

Apply this formula for all numbers.

Step1:

LCM(231, 459) = 35343

GCD(231, 459) = ( 231 x 459 ) / 35343

= 231 / 459

= 231

Step2:

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

= 3 / 205

= 3

Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

So, Greatest Common Divisor of 231, 459, 205, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 379, 432, 958
• GCD of 664, 322, 685, 820
• GCD of 429, 771, 431, 797
• GCD of 793, 328, 310, 870
• GCD of 244, 712, 507, 747

Given numbers are 231, 459, 205, 429
The greatest common divisor of numbers 231, 459, 205, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 459, 205, 429 is 1.

1. What is the GCD of 231, 459, 205, 429?

GCD of given numbers 231, 459, 205, 429 is 1

2. How to calculate the greatest common divisor of 231, 459, 205, 429?

We can find the highest common divisor of 231, 459, 205, 429 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, 459, 205, 429 i.e 1.

3. How can I use the GCD of 231, 459, 205, 429Calculator?

Out the numbers 231, 459, 205, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.