GCD of 319, 748, 397 Calculator

Given Input numbers are 319, 748, 397

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 319, 748, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 748, 397 is 1.

Therefore, GCD of numbers 319, 748, 397 is 1

Given Input Data is 319, 748, 397

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 397 is 397

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(319, 748) = 21692

GCD(319, 748) = ( 319 x 748 ) / 21692

GCD(319, 748) = 238612 / 21692

GCD(319, 748) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 397

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

LCM(11, 397) = 4367

GCD(11, 397) = ( 11 x 397 ) / 4367

GCD(11, 397) = 4367 / 4367

GCD(11, 397) = 1

GCD of 319, 748, 397 is 1

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1. What is the GCD of 319, 748, 397?

GCD of 319, 748, 397 is 1

2. Where do I get the detailed procedure to find GCD of 319, 748, 397?

You can find a detailed procedure to find GCD of 319, 748, 397 on our page.

3. How to find GCD of 319, 748, 397 on a calculator?

You can find the GCD of 319, 748, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.