GCD of 312, 403, 34 Calculator

Given Input numbers are 312, 403, 34

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 312, 403, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 403, 34 is 1.

Therefore, GCD of numbers 312, 403, 34 is 1

Given Input Data is 312, 403, 34

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 403 is 13 x 31

Prime Factorization of 34 is 2 x 17

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(312, 403) = 9672

GCD(312, 403) = ( 312 x 403 ) / 9672

GCD(312, 403) = 125736 / 9672

GCD(312, 403) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 34

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

LCM(13, 34) = 442

GCD(13, 34) = ( 13 x 34 ) / 442

GCD(13, 34) = 442 / 442

GCD(13, 34) = 1

GCD of 312, 403, 34 is 1

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1. What is the GCD of 312, 403, 34?

GCD of 312, 403, 34 is 1

2. Where do I get the detailed procedure to find GCD of 312, 403, 34?

You can find a detailed procedure to find GCD of 312, 403, 34 on our page.

3. How to find GCD of 312, 403, 34 on a calculator?

You can find the GCD of 312, 403, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.