GCD of 296, 230, 676 Calculator

Given Input numbers are 296, 230, 676

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 296, 230, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 230, 676 is 2.

Therefore, GCD of numbers 296, 230, 676 is 2

Given Input Data is 296, 230, 676

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(296, 230) = 34040

GCD(296, 230) = ( 296 x 230 ) / 34040

GCD(296, 230) = 68080 / 34040

GCD(296, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

GCD of 296, 230, 676 is 2

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• GCD of 642, 130, 430
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1. What is the GCD of 296, 230, 676?

GCD of 296, 230, 676 is 2

2. Where do I get the detailed procedure to find GCD of 296, 230, 676?

You can find a detailed procedure to find GCD of 296, 230, 676 on our page.

3. How to find GCD of 296, 230, 676 on a calculator?

You can find the GCD of 296, 230, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.