GCD of 171, 518, 628, 507 Calculator

Given Input numbers are 171, 518, 628, 507

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 171, 518, 628, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 518, 628, 507 is 1.

Therefore, GCD of numbers 171, 518, 628, 507 is 1

Given Input Data is 171, 518, 628, 507

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 507 is 3 x 13 x 13

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(171, 518) = 88578

GCD(171, 518) = ( 171 x 518 ) / 88578

GCD(171, 518) = 88578 / 88578

GCD(171, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 171, 518, 628, 507 is 1

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1. What is the GCD of 171, 518, 628, 507?

GCD of 171, 518, 628, 507 is 1

2. Where do I get the detailed procedure to find GCD of 171, 518, 628, 507?

You can find a detailed procedure to find GCD of 171, 518, 628, 507 on our page.

3. How to find GCD of 171, 518, 628, 507 on a calculator?

You can find the GCD of 171, 518, 628, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.