Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 349, 727, 636, 591 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 727, 636, 591 is 1
GCD(349, 727, 636, 591) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 727, 636, 591 is 1
GCD(349, 727, 636, 591) = 1
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
Here are some samples of GCD of Numbers calculations.
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.