GCD of 306, 638, 645, 103 Calculator

Given Input numbers are 306, 638, 645, 103

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 306, 638, 645, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 638, 645, 103 is 1.

Therefore, GCD of numbers 306, 638, 645, 103 is 1

Given Input Data is 306, 638, 645, 103

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 103 is 103

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(306, 638) = 97614

GCD(306, 638) = ( 306 x 638 ) / 97614

GCD(306, 638) = 195228 / 97614

GCD(306, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 306, 638, 645, 103 is 1

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1. What is the GCD of 306, 638, 645, 103?

GCD of 306, 638, 645, 103 is 1

2. Where do I get the detailed procedure to find GCD of 306, 638, 645, 103?

You can find a detailed procedure to find GCD of 306, 638, 645, 103 on our page.

3. How to find GCD of 306, 638, 645, 103 on a calculator?

You can find the GCD of 306, 638, 645, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.