GCD of 313, 919, 870, 794 Calculator

Given Input numbers are 313, 919, 870, 794

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

Divisors of 313

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

1, 313

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 313, 919, 870, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 919, 870, 794 is 1.

Therefore, GCD of numbers 313, 919, 870, 794 is 1

Given Input Data is 313, 919, 870, 794

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

Prime Factorization of 313 is 313

Prime Factorization of 919 is 919

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 794 is 2 x 397

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(313, 919) = 287647

GCD(313, 919) = ( 313 x 919 ) / 287647

GCD(313, 919) = 287647 / 287647

GCD(313, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 313, 919, 870, 794 is 1

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1. What is the GCD of 313, 919, 870, 794?

GCD of 313, 919, 870, 794 is 1

2. Where do I get the detailed procedure to find GCD of 313, 919, 870, 794?

You can find a detailed procedure to find GCD of 313, 919, 870, 794 on our page.

3. How to find GCD of 313, 919, 870, 794 on a calculator?

You can find the GCD of 313, 919, 870, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.