GCD of 380, 981, 171 Calculator

Given Input numbers are 380, 981, 171

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 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 380, 981, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 981, 171 is 1.

Therefore, GCD of numbers 380, 981, 171 is 1

Given Input Data is 380, 981, 171

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 981 is 3 x 3 x 109

Prime Factorization of 171 is 3 x 3 x 19

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, 981) = 372780

GCD(380, 981) = ( 380 x 981 ) / 372780

GCD(380, 981) = 372780 / 372780

GCD(380, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 380, 981, 171 is 1

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1. What is the GCD of 380, 981, 171?

GCD of 380, 981, 171 is 1

2. Where do I get the detailed procedure to find GCD of 380, 981, 171?

You can find a detailed procedure to find GCD of 380, 981, 171 on our page.

3. How to find GCD of 380, 981, 171 on a calculator?

You can find the GCD of 380, 981, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.