GCD of 350, 946, 313 Calculator

Given Input numbers are 350, 946, 313

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 350, 946, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 946, 313 is 1.

Therefore, GCD of numbers 350, 946, 313 is 1

Given Input Data is 350, 946, 313

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 313 is 313

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(350, 946) = 165550

GCD(350, 946) = ( 350 x 946 ) / 165550

GCD(350, 946) = 331100 / 165550

GCD(350, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 350, 946, 313 is 1

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1. What is the GCD of 350, 946, 313?

GCD of 350, 946, 313 is 1

2. Where do I get the detailed procedure to find GCD of 350, 946, 313?

You can find a detailed procedure to find GCD of 350, 946, 313 on our page.

3. How to find GCD of 350, 946, 313 on a calculator?

You can find the GCD of 350, 946, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.