GCD of 380, 289, 394, 617 Calculator

Given Input numbers are 380, 289, 394, 617

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 380, 289, 394, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 289, 394, 617 is 1.

Therefore, GCD of numbers 380, 289, 394, 617 is 1

Given Input Data is 380, 289, 394, 617

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 289 is 17 x 17

Prime Factorization of 394 is 2 x 197

Prime Factorization of 617 is 617

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, 289) = 109820

GCD(380, 289) = ( 380 x 289 ) / 109820

GCD(380, 289) = 109820 / 109820

GCD(380, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 380, 289, 394, 617 is 1

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1. What is the GCD of 380, 289, 394, 617?

GCD of 380, 289, 394, 617 is 1

2. Where do I get the detailed procedure to find GCD of 380, 289, 394, 617?

You can find a detailed procedure to find GCD of 380, 289, 394, 617 on our page.

3. How to find GCD of 380, 289, 394, 617 on a calculator?

You can find the GCD of 380, 289, 394, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.