GCD of 678, 591, 18, 554 Calculator

Given Input numbers are 678, 591, 18, 554

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 678, 591, 18, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 591, 18, 554 is 1.

Therefore, GCD of numbers 678, 591, 18, 554 is 1

Given Input Data is 678, 591, 18, 554

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 591 is 3 x 197

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 554 is 2 x 277

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, 591) = 133566

GCD(678, 591) = ( 678 x 591 ) / 133566

GCD(678, 591) = 400698 / 133566

GCD(678, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 554

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

LCM(3, 554) = 1662

GCD(3, 554) = ( 3 x 554 ) / 1662

GCD(3, 554) = 1662 / 1662

GCD(3, 554) = 1

GCD of 678, 591, 18, 554 is 1

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• GCD of 968, 715, 75, 210
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1. What is the GCD of 678, 591, 18, 554?

GCD of 678, 591, 18, 554 is 1

2. Where do I get the detailed procedure to find GCD of 678, 591, 18, 554?

You can find a detailed procedure to find GCD of 678, 591, 18, 554 on our page.

3. How to find GCD of 678, 591, 18, 554 on a calculator?

You can find the GCD of 678, 591, 18, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.