GCD of 180, 401, 218, 252 Calculator

Given Input numbers are 180, 401, 218, 252

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 180, 401, 218, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 401, 218, 252 is 1.

Therefore, GCD of numbers 180, 401, 218, 252 is 1

Given Input Data is 180, 401, 218, 252

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 401 is 401

Prime Factorization of 218 is 2 x 109

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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, 401) = 72180

GCD(180, 401) = ( 180 x 401 ) / 72180

GCD(180, 401) = 72180 / 72180

GCD(180, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 180, 401, 218, 252 is 1

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1. What is the GCD of 180, 401, 218, 252?

GCD of 180, 401, 218, 252 is 1

2. Where do I get the detailed procedure to find GCD of 180, 401, 218, 252?

You can find a detailed procedure to find GCD of 180, 401, 218, 252 on our page.

3. How to find GCD of 180, 401, 218, 252 on a calculator?

You can find the GCD of 180, 401, 218, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.