GCD of 313, 631, 946, 218 Calculator

Given Input numbers are 313, 631, 946, 218

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 313, 631, 946, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 631, 946, 218 is 1.

Therefore, GCD of numbers 313, 631, 946, 218 is 1

Given Input Data is 313, 631, 946, 218

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

Prime Factorization of 313 is 313

Prime Factorization of 631 is 631

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 218 is 2 x 109

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, 631) = 197503

GCD(313, 631) = ( 313 x 631 ) / 197503

GCD(313, 631) = 197503 / 197503

GCD(313, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 313, 631, 946, 218 is 1

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• GCD of 279, 226, 114, 611
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• GCD of 132, 449, 632, 270

1. What is the GCD of 313, 631, 946, 218?

GCD of 313, 631, 946, 218 is 1

2. Where do I get the detailed procedure to find GCD of 313, 631, 946, 218?

You can find a detailed procedure to find GCD of 313, 631, 946, 218 on our page.

3. How to find GCD of 313, 631, 946, 218 on a calculator?

You can find the GCD of 313, 631, 946, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.