GCD of 240, 404, 219, 131 Calculator

Given Input numbers are 240, 404, 219, 131

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 240, 404, 219, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 404, 219, 131 is 1.

Therefore, GCD of numbers 240, 404, 219, 131 is 1

Given Input Data is 240, 404, 219, 131

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 219 is 3 x 73

Prime Factorization of 131 is 131

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(240, 404) = 24240

GCD(240, 404) = ( 240 x 404 ) / 24240

GCD(240, 404) = 96960 / 24240

GCD(240, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 219

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

LCM(4, 219) = 876

GCD(4, 219) = ( 4 x 219 ) / 876

GCD(4, 219) = 876 / 876

GCD(4, 219) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 240, 404, 219, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 612, 367, 241
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1. What is the GCD of 240, 404, 219, 131?

GCD of 240, 404, 219, 131 is 1

2. Where do I get the detailed procedure to find GCD of 240, 404, 219, 131?

You can find a detailed procedure to find GCD of 240, 404, 219, 131 on our page.

3. How to find GCD of 240, 404, 219, 131 on a calculator?

You can find the GCD of 240, 404, 219, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.