GCD of 380, 719, 18, 979 Calculator

Given Input numbers are 380, 719, 18, 979

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 380, 719, 18, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 719, 18, 979 is 1.

Therefore, GCD of numbers 380, 719, 18, 979 is 1

Given Input Data is 380, 719, 18, 979

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 719 is 719

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 979 is 11 x 89

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(380, 719) = 273220

GCD(380, 719) = ( 380 x 719 ) / 273220

GCD(380, 719) = 273220 / 273220

GCD(380, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 380, 719, 18, 979 is 1

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1. What is the GCD of 380, 719, 18, 979?

GCD of 380, 719, 18, 979 is 1

2. Where do I get the detailed procedure to find GCD of 380, 719, 18, 979?

You can find a detailed procedure to find GCD of 380, 719, 18, 979 on our page.

3. How to find GCD of 380, 719, 18, 979 on a calculator?

You can find the GCD of 380, 719, 18, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.