GCD of 267, 338, 31, 180 Calculator

Given Input numbers are 267, 338, 31, 180

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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

Greatest Common Divisior

We found the divisors of 267, 338, 31, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 338, 31, 180 is 1.

Therefore, GCD of numbers 267, 338, 31, 180 is 1

Given Input Data is 267, 338, 31, 180

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 31 is 31

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

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(267, 338) = 90246

GCD(267, 338) = ( 267 x 338 ) / 90246

GCD(267, 338) = 90246 / 90246

GCD(267, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 267, 338, 31, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 978, 91, 363
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• GCD of 545, 380, 29, 264

1. What is the GCD of 267, 338, 31, 180?

GCD of 267, 338, 31, 180 is 1

2. Where do I get the detailed procedure to find GCD of 267, 338, 31, 180?

You can find a detailed procedure to find GCD of 267, 338, 31, 180 on our page.

3. How to find GCD of 267, 338, 31, 180 on a calculator?

You can find the GCD of 267, 338, 31, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.