GCD of 454, 464, 238 Calculator

Given Input numbers are 454, 464, 238

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 238

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

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

Greatest Common Divisior

We found the divisors of 454, 464, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 464, 238 is 2.

Therefore, GCD of numbers 454, 464, 238 is 2

Given Input Data is 454, 464, 238

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 238 is 2 x 7 x 17

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(454, 464) = 105328

GCD(454, 464) = ( 454 x 464 ) / 105328

GCD(454, 464) = 210656 / 105328

GCD(454, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 454, 464, 238 is 2

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1. What is the GCD of 454, 464, 238?

GCD of 454, 464, 238 is 2

2. Where do I get the detailed procedure to find GCD of 454, 464, 238?

You can find a detailed procedure to find GCD of 454, 464, 238 on our page.

3. How to find GCD of 454, 464, 238 on a calculator?

You can find the GCD of 454, 464, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.