GCD of 238, 312, 460 Calculator

Given Input numbers are 238, 312, 460

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 238, 312, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 312, 460 is 2.

Therefore, GCD of numbers 238, 312, 460 is 2

Given Input Data is 238, 312, 460

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(238, 312) = 37128

GCD(238, 312) = ( 238 x 312 ) / 37128

GCD(238, 312) = 74256 / 37128

GCD(238, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 238, 312, 460 is 2

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1. What is the GCD of 238, 312, 460?

GCD of 238, 312, 460 is 2

2. Where do I get the detailed procedure to find GCD of 238, 312, 460?

You can find a detailed procedure to find GCD of 238, 312, 460 on our page.

3. How to find GCD of 238, 312, 460 on a calculator?

You can find the GCD of 238, 312, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.