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, 930, 308, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 930, 308, 535 is 1
GCD(231, 930, 308, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 930, 308, 535 is 1
GCD(231, 930, 308, 535) = 1
Given Input numbers are 231, 930, 308, 535
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 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 231, 930, 308, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 930, 308, 535 is 1.
Therefore, GCD of numbers 231, 930, 308, 535 is 1
Given Input Data is 231, 930, 308, 535
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 930 is 2 x 3 x 5 x 31
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 535 is 5 x 107
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, 930) = 71610
GCD(231, 930) = ( 231 x 930 ) / 71610
GCD(231, 930) = 214830 / 71610
GCD(231, 930) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 308) = 924
GCD(3, 308) = ( 3 x 308 ) / 924
GCD(3, 308) = 924 / 924
GCD(3, 308) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 231, 930, 308, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 930, 308, 535?
GCD of 231, 930, 308, 535 is 1
2. Where do I get the detailed procedure to find GCD of 231, 930, 308, 535?
You can find a detailed procedure to find GCD of 231, 930, 308, 535 on our page.
3. How to find GCD of 231, 930, 308, 535 on a calculator?
You can find the GCD of 231, 930, 308, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.