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, 776, 832, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 776, 832, 225 is 1
GCD(231, 776, 832, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 776, 832, 225 is 1
GCD(231, 776, 832, 225) = 1
Given Input numbers are 231, 776, 832, 225
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 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Greatest Common Divisior
We found the divisors of 231, 776, 832, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 776, 832, 225 is 1.
Therefore, GCD of numbers 231, 776, 832, 225 is 1
Given Input Data is 231, 776, 832, 225
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 776 is 2 x 2 x 2 x 97
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 225 is 3 x 3 x 5 x 5
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, 776) = 179256
GCD(231, 776) = ( 231 x 776 ) / 179256
GCD(231, 776) = 179256 / 179256
GCD(231, 776) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 231, 776, 832, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 776, 832, 225?
GCD of 231, 776, 832, 225 is 1
2. Where do I get the detailed procedure to find GCD of 231, 776, 832, 225?
You can find a detailed procedure to find GCD of 231, 776, 832, 225 on our page.
3. How to find GCD of 231, 776, 832, 225 on a calculator?
You can find the GCD of 231, 776, 832, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.