GCD of 730, 338, 676 Calculator

Given Input numbers are 730, 338, 676

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 730, 338, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 338, 676 is 2.

Therefore, GCD of numbers 730, 338, 676 is 2

Given Input Data is 730, 338, 676

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 338 is 2 x 13 x 13

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(730, 338) = 123370

GCD(730, 338) = ( 730 x 338 ) / 123370

GCD(730, 338) = 246740 / 123370

GCD(730, 338) = 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 730, 338, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 227, 242
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• GCD of 112, 776, 703

1. What is the GCD of 730, 338, 676?

GCD of 730, 338, 676 is 2

2. Where do I get the detailed procedure to find GCD of 730, 338, 676?

You can find a detailed procedure to find GCD of 730, 338, 676 on our page.

3. How to find GCD of 730, 338, 676 on a calculator?

You can find the GCD of 730, 338, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.