GCD of 304, 242, 609, 615 Calculator

Given Input numbers are 304, 242, 609, 615

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 304, 242, 609, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 242, 609, 615 is 1.

Therefore, GCD of numbers 304, 242, 609, 615 is 1

Given Input Data is 304, 242, 609, 615

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 615 is 3 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(304, 242) = 36784

GCD(304, 242) = ( 304 x 242 ) / 36784

GCD(304, 242) = 73568 / 36784

GCD(304, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 304, 242, 609, 615 is 1

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1. What is the GCD of 304, 242, 609, 615?

GCD of 304, 242, 609, 615 is 1

2. Where do I get the detailed procedure to find GCD of 304, 242, 609, 615?

You can find a detailed procedure to find GCD of 304, 242, 609, 615 on our page.

3. How to find GCD of 304, 242, 609, 615 on a calculator?

You can find the GCD of 304, 242, 609, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.