GCD of 349, 727, 636, 591 Calculator

Given Input numbers are 349, 727, 636, 591

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 349, 727, 636, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 727, 636, 591 is 1.

Therefore, GCD of numbers 349, 727, 636, 591 is 1

Given Input Data is 349, 727, 636, 591

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

Prime Factorization of 349 is 349

Prime Factorization of 727 is 727

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(349, 727) = 253723

GCD(349, 727) = ( 349 x 727 ) / 253723

GCD(349, 727) = 253723 / 253723

GCD(349, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 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 349, 727, 636, 591 is 1

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1. What is the GCD of 349, 727, 636, 591?

GCD of 349, 727, 636, 591 is 1

2. Where do I get the detailed procedure to find GCD of 349, 727, 636, 591?

You can find a detailed procedure to find GCD of 349, 727, 636, 591 on our page.

3. How to find GCD of 349, 727, 636, 591 on a calculator?

You can find the GCD of 349, 727, 636, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.