GCD of 627, 319, 54, 580 Calculator

Given Input numbers are 627, 319, 54, 580

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 627, 319, 54, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 319, 54, 580 is 1.

Therefore, GCD of numbers 627, 319, 54, 580 is 1

Given Input Data is 627, 319, 54, 580

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 319 is 11 x 29

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(627, 319) = 18183

GCD(627, 319) = ( 627 x 319 ) / 18183

GCD(627, 319) = 200013 / 18183

GCD(627, 319) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 54

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

LCM(11, 54) = 594

GCD(11, 54) = ( 11 x 54 ) / 594

GCD(11, 54) = 594 / 594

GCD(11, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 627, 319, 54, 580 is 1

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1. What is the GCD of 627, 319, 54, 580?

GCD of 627, 319, 54, 580 is 1

2. Where do I get the detailed procedure to find GCD of 627, 319, 54, 580?

You can find a detailed procedure to find GCD of 627, 319, 54, 580 on our page.

3. How to find GCD of 627, 319, 54, 580 on a calculator?

You can find the GCD of 627, 319, 54, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.