GCD of 234, 122, 316 Calculator

Given Input numbers are 234, 122, 316

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 234, 122, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 122, 316 is 2.

Therefore, GCD of numbers 234, 122, 316 is 2

Given Input Data is 234, 122, 316

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 316 is 2 x 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(234, 122) = 14274

GCD(234, 122) = ( 234 x 122 ) / 14274

GCD(234, 122) = 28548 / 14274

GCD(234, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 234, 122, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 227, 971
• GCD of 339, 911, 508
• GCD of 690, 722, 752
• GCD of 174, 346, 342
• GCD of 822, 655, 238

1. What is the GCD of 234, 122, 316?

GCD of 234, 122, 316 is 2

2. Where do I get the detailed procedure to find GCD of 234, 122, 316?

You can find a detailed procedure to find GCD of 234, 122, 316 on our page.

3. How to find GCD of 234, 122, 316 on a calculator?

You can find the GCD of 234, 122, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.