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 232, 956, 236, 712 i.e. 4 largest integer that divides all the numbers equally.
GCD of 232, 956, 236, 712 is 4
GCD(232, 956, 236, 712) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 956, 236, 712 is 4
GCD(232, 956, 236, 712) = 4
Given Input numbers are 232, 956, 236, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 232, 956, 236, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 956, 236, 712 is 4.
Therefore, GCD of numbers 232, 956, 236, 712 is 4
Given Input Data is 232, 956, 236, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 712 is 2 x 2 x 2 x 89
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(232, 956) = 55448
GCD(232, 956) = ( 232 x 956 ) / 55448
GCD(232, 956) = 221792 / 55448
GCD(232, 956) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 236) = 236
GCD(4, 236) = ( 4 x 236 ) / 236
GCD(4, 236) = 944 / 236
GCD(4, 236) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 712) = 712
GCD(4, 712) = ( 4 x 712 ) / 712
GCD(4, 712) = 2848 / 712
GCD(4, 712) = 4
GCD of 232, 956, 236, 712 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 956, 236, 712?
GCD of 232, 956, 236, 712 is 4
2. Where do I get the detailed procedure to find GCD of 232, 956, 236, 712?
You can find a detailed procedure to find GCD of 232, 956, 236, 712 on our page.
3. How to find GCD of 232, 956, 236, 712 on a calculator?
You can find the GCD of 232, 956, 236, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.