GCD of 344, 326, 771, 591 Calculator

Given Input numbers are 344, 326, 771, 591

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 344, 326, 771, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 326, 771, 591 is 1.

Therefore, GCD of numbers 344, 326, 771, 591 is 1

Given Input Data is 344, 326, 771, 591

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 326 is 2 x 163

Prime Factorization of 771 is 3 x 257

Prime Factorization of 591 is 3 x 197

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(344, 326) = 56072

GCD(344, 326) = ( 344 x 326 ) / 56072

GCD(344, 326) = 112144 / 56072

GCD(344, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 344, 326, 771, 591 is 1

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1. What is the GCD of 344, 326, 771, 591?

GCD of 344, 326, 771, 591 is 1

2. Where do I get the detailed procedure to find GCD of 344, 326, 771, 591?

You can find a detailed procedure to find GCD of 344, 326, 771, 591 on our page.

3. How to find GCD of 344, 326, 771, 591 on a calculator?

You can find the GCD of 344, 326, 771, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.