GCD of 345, 768, 591 Calculator

Given Input numbers are 345, 768, 591

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 345, 768, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 768, 591 is 3.

Therefore, GCD of numbers 345, 768, 591 is 3

Given Input Data is 345, 768, 591

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 591 is 3 x 197

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(345, 768) = 88320

GCD(345, 768) = ( 345 x 768 ) / 88320

GCD(345, 768) = 264960 / 88320

GCD(345, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 591

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

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

GCD(3, 591) = 1773 / 591

GCD(3, 591) = 3

GCD of 345, 768, 591 is 3

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1. What is the GCD of 345, 768, 591?

GCD of 345, 768, 591 is 3

2. Where do I get the detailed procedure to find GCD of 345, 768, 591?

You can find a detailed procedure to find GCD of 345, 768, 591 on our page.

3. How to find GCD of 345, 768, 591 on a calculator?

You can find the GCD of 345, 768, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.