GCD of 459, 858, 231, 318 Calculator

Given Input numbers are 459, 858, 231, 318

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

Divisors of 459 :

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

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 231 :

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

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (459, 858, 231, 318) = 3.

Given numbers are 459, 858, 231, 318

The list of prime factors of all numbers are

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

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 231 are 3 x 7 x 11

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 459, 858, 231, 318 is 3.

Given numbers are 459, 858, 231, 318

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

Apply this formula for all numbers.

Step1:

LCM(459, 858) = 131274

GCD(459, 858) = ( 459 x 858 ) / 131274

= 459 / 858

= 459

Step2:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 459, 858, 231, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 239, 889, 342
• GCD of 789, 777, 212, 447
• GCD of 925, 505, 728, 508
• GCD of 574, 816, 493, 757
• GCD of 276, 763, 148, 894

Given numbers are 459, 858, 231, 318
The greatest common divisor of numbers 459, 858, 231, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 858, 231, 318 is 3.

1. What is the GCD of 459, 858, 231, 318?

GCD of given numbers 459, 858, 231, 318 is 3

2. How to calculate the greatest common divisor of 459, 858, 231, 318?

We can find the highest common divisor of 459, 858, 231, 318 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 459, 858, 231, 318 i.e 3.

3. How can I use the GCD of 459, 858, 231, 318Calculator?

Out the numbers 459, 858, 231, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.