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 11, 931, 978, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 931, 978, 232 is 1
GCD(11, 931, 978, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 931, 978, 232 is 1
GCD(11, 931, 978, 232) = 1
Given Input numbers are 11, 931, 978, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Greatest Common Divisior
We found the divisors of 11, 931, 978, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 931, 978, 232 is 1.
Therefore, GCD of numbers 11, 931, 978, 232 is 1
Given Input Data is 11, 931, 978, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 232 is 2 x 2 x 2 x 29
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(11, 931) = 10241
GCD(11, 931) = ( 11 x 931 ) / 10241
GCD(11, 931) = 10241 / 10241
GCD(11, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
GCD of 11, 931, 978, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 931, 978, 232?
GCD of 11, 931, 978, 232 is 1
2. Where do I get the detailed procedure to find GCD of 11, 931, 978, 232?
You can find a detailed procedure to find GCD of 11, 931, 978, 232 on our page.
3. How to find GCD of 11, 931, 978, 232 on a calculator?
You can find the GCD of 11, 931, 978, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.