GCD of 738, 694, 313 Calculator

Given Input numbers are 738, 694, 313

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 694

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

1, 2, 347, 694

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 738, 694, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 694, 313 is 1.

Therefore, GCD of numbers 738, 694, 313 is 1

Given Input Data is 738, 694, 313

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 694 is 2 x 347

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(738, 694) = 256086

GCD(738, 694) = ( 738 x 694 ) / 256086

GCD(738, 694) = 512172 / 256086

GCD(738, 694) = 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 738, 694, 313 is 1

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• GCD of 913, 793, 917
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1. What is the GCD of 738, 694, 313?

GCD of 738, 694, 313 is 1

2. Where do I get the detailed procedure to find GCD of 738, 694, 313?

You can find a detailed procedure to find GCD of 738, 694, 313 on our page.

3. How to find GCD of 738, 694, 313 on a calculator?

You can find the GCD of 738, 694, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.