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 291, 993, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 993, 403 is 1
GCD(291, 993, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 993, 403 is 1
GCD(291, 993, 403) = 1
Given Input numbers are 291, 993, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 291, 993, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 993, 403 is 1.
Therefore, GCD of numbers 291, 993, 403 is 1
Given Input Data is 291, 993, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 993 is 3 x 331
Prime Factorization of 403 is 13 x 31
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(291, 993) = 96321
GCD(291, 993) = ( 291 x 993 ) / 96321
GCD(291, 993) = 288963 / 96321
GCD(291, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 403) = 1209
GCD(3, 403) = ( 3 x 403 ) / 1209
GCD(3, 403) = 1209 / 1209
GCD(3, 403) = 1
GCD of 291, 993, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 993, 403?
GCD of 291, 993, 403 is 1
2. Where do I get the detailed procedure to find GCD of 291, 993, 403?
You can find a detailed procedure to find GCD of 291, 993, 403 on our page.
3. How to find GCD of 291, 993, 403 on a calculator?
You can find the GCD of 291, 993, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.