GCD of 678, 908, 613, 301 Calculator

Given Input numbers are 678, 908, 613, 301

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

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 678, 908, 613, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 908, 613, 301 is 1.

Therefore, GCD of numbers 678, 908, 613, 301 is 1

Given Input Data is 678, 908, 613, 301

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 613 is 613

Prime Factorization of 301 is 7 x 43

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(678, 908) = 307812

GCD(678, 908) = ( 678 x 908 ) / 307812

GCD(678, 908) = 615624 / 307812

GCD(678, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 613

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

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

GCD(2, 613) = 1226 / 1226

GCD(2, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 678, 908, 613, 301 is 1

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1. What is the GCD of 678, 908, 613, 301?

GCD of 678, 908, 613, 301 is 1

2. Where do I get the detailed procedure to find GCD of 678, 908, 613, 301?

You can find a detailed procedure to find GCD of 678, 908, 613, 301 on our page.

3. How to find GCD of 678, 908, 613, 301 on a calculator?

You can find the GCD of 678, 908, 613, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.