GCD of 321, 744, 313, 694 Calculator

Given Input numbers are 321, 744, 313, 694

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 313

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

1, 313

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 321, 744, 313, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 744, 313, 694 is 1.

Therefore, GCD of numbers 321, 744, 313, 694 is 1

Given Input Data is 321, 744, 313, 694

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 313 is 313

Prime Factorization of 694 is 2 x 347

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(321, 744) = 79608

GCD(321, 744) = ( 321 x 744 ) / 79608

GCD(321, 744) = 238824 / 79608

GCD(321, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 321, 744, 313, 694 is 1

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1. What is the GCD of 321, 744, 313, 694?

GCD of 321, 744, 313, 694 is 1

2. Where do I get the detailed procedure to find GCD of 321, 744, 313, 694?

You can find a detailed procedure to find GCD of 321, 744, 313, 694 on our page.

3. How to find GCD of 321, 744, 313, 694 on a calculator?

You can find the GCD of 321, 744, 313, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.