GCD of 310, 313, 782, 107 Calculator

Given Input numbers are 310, 313, 782, 107

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

Divisors of 310

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

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 310, 313, 782, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 313, 782, 107 is 1.

Therefore, GCD of numbers 310, 313, 782, 107 is 1

Given Input Data is 310, 313, 782, 107

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 313 is 313

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 107 is 107

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(310, 313) = 97030

GCD(310, 313) = ( 310 x 313 ) / 97030

GCD(310, 313) = 97030 / 97030

GCD(310, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 310, 313, 782, 107 is 1

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1. What is the GCD of 310, 313, 782, 107?

GCD of 310, 313, 782, 107 is 1

2. Where do I get the detailed procedure to find GCD of 310, 313, 782, 107?

You can find a detailed procedure to find GCD of 310, 313, 782, 107 on our page.

3. How to find GCD of 310, 313, 782, 107 on a calculator?

You can find the GCD of 310, 313, 782, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.