GCD of 219, 991, 107, 390 Calculator

Given Input numbers are 219, 991, 107, 390

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 219, 991, 107, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 991, 107, 390 is 1.

Therefore, GCD of numbers 219, 991, 107, 390 is 1

Given Input Data is 219, 991, 107, 390

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 991 is 991

Prime Factorization of 107 is 107

Prime Factorization of 390 is 2 x 3 x 5 x 13

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, 991) = 217029

GCD(219, 991) = ( 219 x 991 ) / 217029

GCD(219, 991) = 217029 / 217029

GCD(219, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 219, 991, 107, 390 is 1

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1. What is the GCD of 219, 991, 107, 390?

GCD of 219, 991, 107, 390 is 1

2. Where do I get the detailed procedure to find GCD of 219, 991, 107, 390?

You can find a detailed procedure to find GCD of 219, 991, 107, 390 on our page.

3. How to find GCD of 219, 991, 107, 390 on a calculator?

You can find the GCD of 219, 991, 107, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.