GCD of 346, 399, 380 Calculator

Given Input numbers are 346, 399, 380

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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

Greatest Common Divisior

We found the divisors of 346, 399, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 399, 380 is 1.

Therefore, GCD of numbers 346, 399, 380 is 1

Given Input Data is 346, 399, 380

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 380 is 2 x 2 x 5 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(346, 399) = 138054

GCD(346, 399) = ( 346 x 399 ) / 138054

GCD(346, 399) = 138054 / 138054

GCD(346, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 346, 399, 380 is 1

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1. What is the GCD of 346, 399, 380?

GCD of 346, 399, 380 is 1

2. Where do I get the detailed procedure to find GCD of 346, 399, 380?

You can find a detailed procedure to find GCD of 346, 399, 380 on our page.

3. How to find GCD of 346, 399, 380 on a calculator?

You can find the GCD of 346, 399, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.