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 866, 468, 72, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 866, 468, 72, 375 is 1
GCD(866, 468, 72, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 866, 468, 72, 375 is 1
GCD(866, 468, 72, 375) = 1
Given Input numbers are 866, 468, 72, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 866, 468, 72, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 468, 72, 375 is 1.
Therefore, GCD of numbers 866, 468, 72, 375 is 1
Given Input Data is 866, 468, 72, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 866 is 2 x 433
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 375 is 3 x 5 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(866, 468) = 202644
GCD(866, 468) = ( 866 x 468 ) / 202644
GCD(866, 468) = 405288 / 202644
GCD(866, 468) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
GCD(2, 375) = 750 / 750
GCD(2, 375) = 1
GCD of 866, 468, 72, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 866, 468, 72, 375?
GCD of 866, 468, 72, 375 is 1
2. Where do I get the detailed procedure to find GCD of 866, 468, 72, 375?
You can find a detailed procedure to find GCD of 866, 468, 72, 375 on our page.
3. How to find GCD of 866, 468, 72, 375 on a calculator?
You can find the GCD of 866, 468, 72, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.