GCD of 318, 294, 231 Calculator

Given Input numbers are 318, 294, 231

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

Divisors of 318 :

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

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (318, 294, 231) = 3.

Given numbers are 318, 294, 231

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 318, 294, 231 is 3.

Given numbers are 318, 294, 231

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

Apply this formula for all numbers.

Step1:

LCM(318, 294) = 15582

GCD(318, 294) = ( 318 x 294 ) / 15582

= 318 / 294

= 318

Step2:

LCM(6, 231) = 462

GCD(6, 231) = ( 6 x 231 ) / 462

= 6 / 231

= 6

So, Greatest Common Divisor of 318, 294, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 102, 654
• GCD of 809, 305, 569
• GCD of 987, 649, 282
• GCD of 633, 190, 588
• GCD of 847, 945, 984

Given numbers are 318, 294, 231
The greatest common divisor of numbers 318, 294, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 294, 231 is 3.

1. What is the GCD of 318, 294, 231?

GCD of given numbers 318, 294, 231 is 3

2. How to calculate the greatest common divisor of 318, 294, 231?

We can find the highest common divisor of 318, 294, 231 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 318, 294, 231 i.e 3.

3. How can I use the GCD of 318, 294, 231Calculator?

Out the numbers 318, 294, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.