GCD of 219, 268, 127, 131 Calculator

Given Input numbers are 219, 268, 127, 131

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

Divisors of 219

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

1, 3, 73, 219

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

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 219, 268, 127, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 268, 127, 131 is 1.

Therefore, GCD of numbers 219, 268, 127, 131 is 1

Given Input Data is 219, 268, 127, 131

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 127 is 127

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(219, 268) = 58692

GCD(219, 268) = ( 219 x 268 ) / 58692

GCD(219, 268) = 58692 / 58692

GCD(219, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 127

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

LCM(1, 127) = 127

GCD(1, 127) = ( 1 x 127 ) / 127

GCD(1, 127) = 127 / 127

GCD(1, 127) = 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 219, 268, 127, 131 is 1

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1. What is the GCD of 219, 268, 127, 131?

GCD of 219, 268, 127, 131 is 1

2. Where do I get the detailed procedure to find GCD of 219, 268, 127, 131?

You can find a detailed procedure to find GCD of 219, 268, 127, 131 on our page.

3. How to find GCD of 219, 268, 127, 131 on a calculator?

You can find the GCD of 219, 268, 127, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.