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 681, 678, 11, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 678, 11, 232 is 1
GCD(681, 678, 11, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 678, 11, 232 is 1
GCD(681, 678, 11, 232) = 1
Given Input numbers are 681, 678, 11, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 681, 678, 11, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 678, 11, 232 is 1.
Therefore, GCD of numbers 681, 678, 11, 232 is 1
Given Input Data is 681, 678, 11, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 11 is 11
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(681, 678) = 153906
GCD(681, 678) = ( 681 x 678 ) / 153906
GCD(681, 678) = 461718 / 153906
GCD(681, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 11) = 33
GCD(3, 11) = ( 3 x 11 ) / 33
GCD(3, 11) = 33 / 33
GCD(3, 11) = 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 681, 678, 11, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 678, 11, 232?
GCD of 681, 678, 11, 232 is 1
2. Where do I get the detailed procedure to find GCD of 681, 678, 11, 232?
You can find a detailed procedure to find GCD of 681, 678, 11, 232 on our page.
3. How to find GCD of 681, 678, 11, 232 on a calculator?
You can find the GCD of 681, 678, 11, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.