GCD of 678, 107, 744 Calculator

Given Input numbers are 678, 107, 744

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 678, 107, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 107, 744 is 1.

Therefore, GCD of numbers 678, 107, 744 is 1

Given Input Data is 678, 107, 744

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 744 is 2 x 2 x 2 x 3 x 31

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 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 678, 107, 744 is 1

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1. What is the GCD of 678, 107, 744?

GCD of 678, 107, 744 is 1

2. Where do I get the detailed procedure to find GCD of 678, 107, 744?

You can find a detailed procedure to find GCD of 678, 107, 744 on our page.

3. How to find GCD of 678, 107, 744 on a calculator?

You can find the GCD of 678, 107, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.