GCD of 102, 645, 242, 304 Calculator

Given Input numbers are 102, 645, 242, 304

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 242

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

1, 2, 11, 22, 121, 242

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

Greatest Common Divisior

We found the divisors of 102, 645, 242, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 645, 242, 304 is 1.

Therefore, GCD of numbers 102, 645, 242, 304 is 1

Given Input Data is 102, 645, 242, 304

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 242 is 2 x 11 x 11

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

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(102, 645) = 21930

GCD(102, 645) = ( 102 x 645 ) / 21930

GCD(102, 645) = 65790 / 21930

GCD(102, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 242

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

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

GCD(3, 242) = 726 / 726

GCD(3, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 102, 645, 242, 304 is 1

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1. What is the GCD of 102, 645, 242, 304?

GCD of 102, 645, 242, 304 is 1

2. Where do I get the detailed procedure to find GCD of 102, 645, 242, 304?

You can find a detailed procedure to find GCD of 102, 645, 242, 304 on our page.

3. How to find GCD of 102, 645, 242, 304 on a calculator?

You can find the GCD of 102, 645, 242, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.