GCD of 390, 242, 724 Calculator

Given Input numbers are 390, 242, 724

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 390, 242, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 242, 724 is 2.

Therefore, GCD of numbers 390, 242, 724 is 2

Given Input Data is 390, 242, 724

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 724 is 2 x 2 x 181

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(390, 242) = 47190

GCD(390, 242) = ( 390 x 242 ) / 47190

GCD(390, 242) = 94380 / 47190

GCD(390, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 390, 242, 724 is 2

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1. What is the GCD of 390, 242, 724?

GCD of 390, 242, 724 is 2

2. Where do I get the detailed procedure to find GCD of 390, 242, 724?

You can find a detailed procedure to find GCD of 390, 242, 724 on our page.

3. How to find GCD of 390, 242, 724 on a calculator?

You can find the GCD of 390, 242, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.