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 25, 747, 271, 866 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 747, 271, 866 is 1
GCD(25, 747, 271, 866) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 747, 271, 866 is 1
GCD(25, 747, 271, 866) = 1
Given Input numbers are 25, 747, 271, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 25, 747, 271, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 747, 271, 866 is 1.
Therefore, GCD of numbers 25, 747, 271, 866 is 1
Given Input Data is 25, 747, 271, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 271 is 271
Prime Factorization of 866 is 2 x 433
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(25, 747) = 18675
GCD(25, 747) = ( 25 x 747 ) / 18675
GCD(25, 747) = 18675 / 18675
GCD(25, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
GCD of 25, 747, 271, 866 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 747, 271, 866?
GCD of 25, 747, 271, 866 is 1
2. Where do I get the detailed procedure to find GCD of 25, 747, 271, 866?
You can find a detailed procedure to find GCD of 25, 747, 271, 866 on our page.
3. How to find GCD of 25, 747, 271, 866 on a calculator?
You can find the GCD of 25, 747, 271, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.