GCD of 841, 380, 381, 314 Calculator

Given Input numbers are 841, 380, 381, 314

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

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 841, 380, 381, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 380, 381, 314 is 1.

Therefore, GCD of numbers 841, 380, 381, 314 is 1

Given Input Data is 841, 380, 381, 314

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

Prime Factorization of 841 is 29 x 29

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 314 is 2 x 157

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(841, 380) = 319580

GCD(841, 380) = ( 841 x 380 ) / 319580

GCD(841, 380) = 319580 / 319580

GCD(841, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 841, 380, 381, 314 is 1

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1. What is the GCD of 841, 380, 381, 314?

GCD of 841, 380, 381, 314 is 1

2. Where do I get the detailed procedure to find GCD of 841, 380, 381, 314?

You can find a detailed procedure to find GCD of 841, 380, 381, 314 on our page.

3. How to find GCD of 841, 380, 381, 314 on a calculator?

You can find the GCD of 841, 380, 381, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.