GCD of 313, 634, 966, 343 Calculator

Given Input numbers are 313, 634, 966, 343

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 313, 634, 966, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 634, 966, 343 is 1.

Therefore, GCD of numbers 313, 634, 966, 343 is 1

Given Input Data is 313, 634, 966, 343

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

Prime Factorization of 313 is 313

Prime Factorization of 634 is 2 x 317

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 343 is 7 x 7 x 7

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, 634) = 198442

GCD(313, 634) = ( 313 x 634 ) / 198442

GCD(313, 634) = 198442 / 198442

GCD(313, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 313, 634, 966, 343 is 1

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1. What is the GCD of 313, 634, 966, 343?

GCD of 313, 634, 966, 343 is 1

2. Where do I get the detailed procedure to find GCD of 313, 634, 966, 343?

You can find a detailed procedure to find GCD of 313, 634, 966, 343 on our page.

3. How to find GCD of 313, 634, 966, 343 on a calculator?

You can find the GCD of 313, 634, 966, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.