GCD of 678, 107, 897, 418 Calculator

Given Input numbers are 678, 107, 897, 418

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 678, 107, 897, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 107, 897, 418 is 1.

Therefore, GCD of numbers 678, 107, 897, 418 is 1

Given Input Data is 678, 107, 897, 418

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 107 is 107

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 418 is 2 x 11 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(678, 107) = 72546

GCD(678, 107) = ( 678 x 107 ) / 72546

GCD(678, 107) = 72546 / 72546

GCD(678, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 678, 107, 897, 418 is 1

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1. What is the GCD of 678, 107, 897, 418?

GCD of 678, 107, 897, 418 is 1

2. Where do I get the detailed procedure to find GCD of 678, 107, 897, 418?

You can find a detailed procedure to find GCD of 678, 107, 897, 418 on our page.

3. How to find GCD of 678, 107, 897, 418 on a calculator?

You can find the GCD of 678, 107, 897, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.