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 323, 578, 91, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 578, 91, 737 is 1
GCD(323, 578, 91, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 578, 91, 737 is 1
GCD(323, 578, 91, 737) = 1
Given Input numbers are 323, 578, 91, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 323, 578, 91, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 578, 91, 737 is 1.
Therefore, GCD of numbers 323, 578, 91, 737 is 1
Given Input Data is 323, 578, 91, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 91 is 7 x 13
Prime Factorization of 737 is 11 x 67
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(323, 578) = 10982
GCD(323, 578) = ( 323 x 578 ) / 10982
GCD(323, 578) = 186694 / 10982
GCD(323, 578) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 91) = 1547
GCD(17, 91) = ( 17 x 91 ) / 1547
GCD(17, 91) = 1547 / 1547
GCD(17, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 323, 578, 91, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 578, 91, 737?
GCD of 323, 578, 91, 737 is 1
2. Where do I get the detailed procedure to find GCD of 323, 578, 91, 737?
You can find a detailed procedure to find GCD of 323, 578, 91, 737 on our page.
3. How to find GCD of 323, 578, 91, 737 on a calculator?
You can find the GCD of 323, 578, 91, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.