GCD of 311, 380, 828, 917 Calculator

Given Input numbers are 311, 380, 828, 917

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 311, 380, 828, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 380, 828, 917 is 1.

Therefore, GCD of numbers 311, 380, 828, 917 is 1

Given Input Data is 311, 380, 828, 917

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

Prime Factorization of 311 is 311

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 917 is 7 x 131

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(311, 380) = 118180

GCD(311, 380) = ( 311 x 380 ) / 118180

GCD(311, 380) = 118180 / 118180

GCD(311, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 311, 380, 828, 917 is 1

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1. What is the GCD of 311, 380, 828, 917?

GCD of 311, 380, 828, 917 is 1

2. Where do I get the detailed procedure to find GCD of 311, 380, 828, 917?

You can find a detailed procedure to find GCD of 311, 380, 828, 917 on our page.

3. How to find GCD of 311, 380, 828, 917 on a calculator?

You can find the GCD of 311, 380, 828, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.