GCD of 314, 620, 381, 830 Calculator

Given Input numbers are 314, 620, 381, 830

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 381

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

1, 3, 127, 381

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 314, 620, 381, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 620, 381, 830 is 1.

Therefore, GCD of numbers 314, 620, 381, 830 is 1

Given Input Data is 314, 620, 381, 830

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 381 is 3 x 127

Prime Factorization of 830 is 2 x 5 x 83

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(314, 620) = 97340

GCD(314, 620) = ( 314 x 620 ) / 97340

GCD(314, 620) = 194680 / 97340

GCD(314, 620) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 314, 620, 381, 830 is 1

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1. What is the GCD of 314, 620, 381, 830?

GCD of 314, 620, 381, 830 is 1

2. Where do I get the detailed procedure to find GCD of 314, 620, 381, 830?

You can find a detailed procedure to find GCD of 314, 620, 381, 830 on our page.

3. How to find GCD of 314, 620, 381, 830 on a calculator?

You can find the GCD of 314, 620, 381, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.