GCD of 868, 397, 15, 310 Calculator

Given Input numbers are 868, 397, 15, 310

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 868, 397, 15, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 397, 15, 310 is 1.

Therefore, GCD of numbers 868, 397, 15, 310 is 1

Given Input Data is 868, 397, 15, 310

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 397 is 397

Prime Factorization of 15 is 3 x 5

Prime Factorization of 310 is 2 x 5 x 31

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(868, 397) = 344596

GCD(868, 397) = ( 868 x 397 ) / 344596

GCD(868, 397) = 344596 / 344596

GCD(868, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 868, 397, 15, 310 is 1

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1. What is the GCD of 868, 397, 15, 310?

GCD of 868, 397, 15, 310 is 1

2. Where do I get the detailed procedure to find GCD of 868, 397, 15, 310?

You can find a detailed procedure to find GCD of 868, 397, 15, 310 on our page.

3. How to find GCD of 868, 397, 15, 310 on a calculator?

You can find the GCD of 868, 397, 15, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.