GCD of 42, 678, 204, 637 Calculator

Given Input numbers are 42, 678, 204, 637

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 42, 678, 204, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 678, 204, 637 is 1.

Therefore, GCD of numbers 42, 678, 204, 637 is 1

Given Input Data is 42, 678, 204, 637

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 637 is 7 x 7 x 13

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(42, 678) = 4746

GCD(42, 678) = ( 42 x 678 ) / 4746

GCD(42, 678) = 28476 / 4746

GCD(42, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 204

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

LCM(6, 204) = 204

GCD(6, 204) = ( 6 x 204 ) / 204

GCD(6, 204) = 1224 / 204

GCD(6, 204) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 637

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

LCM(6, 637) = 3822

GCD(6, 637) = ( 6 x 637 ) / 3822

GCD(6, 637) = 3822 / 3822

GCD(6, 637) = 1

GCD of 42, 678, 204, 637 is 1

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1. What is the GCD of 42, 678, 204, 637?

GCD of 42, 678, 204, 637 is 1

2. Where do I get the detailed procedure to find GCD of 42, 678, 204, 637?

You can find a detailed procedure to find GCD of 42, 678, 204, 637 on our page.

3. How to find GCD of 42, 678, 204, 637 on a calculator?

You can find the GCD of 42, 678, 204, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.