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 231, 732, 988, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 732, 988, 501 is 1
GCD(231, 732, 988, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 732, 988, 501 is 1
GCD(231, 732, 988, 501) = 1
Given Input numbers are 231, 732, 988, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 231, 732, 988, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 732, 988, 501 is 1.
Therefore, GCD of numbers 231, 732, 988, 501 is 1
Given Input Data is 231, 732, 988, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 501 is 3 x 167
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(231, 732) = 56364
GCD(231, 732) = ( 231 x 732 ) / 56364
GCD(231, 732) = 169092 / 56364
GCD(231, 732) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 988) = 2964
GCD(3, 988) = ( 3 x 988 ) / 2964
GCD(3, 988) = 2964 / 2964
GCD(3, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 231, 732, 988, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 732, 988, 501?
GCD of 231, 732, 988, 501 is 1
2. Where do I get the detailed procedure to find GCD of 231, 732, 988, 501?
You can find a detailed procedure to find GCD of 231, 732, 988, 501 on our page.
3. How to find GCD of 231, 732, 988, 501 on a calculator?
You can find the GCD of 231, 732, 988, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.