GCD of 180, 628, 529 Calculator

Given Input numbers are 180, 628, 529

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 180, 628, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 628, 529 is 1.

Therefore, GCD of numbers 180, 628, 529 is 1

Given Input Data is 180, 628, 529

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 529 is 23 x 23

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(180, 628) = 28260

GCD(180, 628) = ( 180 x 628 ) / 28260

GCD(180, 628) = 113040 / 28260

GCD(180, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 529

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

LCM(4, 529) = 2116

GCD(4, 529) = ( 4 x 529 ) / 2116

GCD(4, 529) = 2116 / 2116

GCD(4, 529) = 1

GCD of 180, 628, 529 is 1

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1. What is the GCD of 180, 628, 529?

GCD of 180, 628, 529 is 1

2. Where do I get the detailed procedure to find GCD of 180, 628, 529?

You can find a detailed procedure to find GCD of 180, 628, 529 on our page.

3. How to find GCD of 180, 628, 529 on a calculator?

You can find the GCD of 180, 628, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.