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 27, 296, 712, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 296, 712, 850 is 1
GCD(27, 296, 712, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 296, 712, 850 is 1
GCD(27, 296, 712, 850) = 1
Given Input numbers are 27, 296, 712, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 27, 296, 712, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 296, 712, 850 is 1.
Therefore, GCD of numbers 27, 296, 712, 850 is 1
Given Input Data is 27, 296, 712, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(27, 296) = 7992
GCD(27, 296) = ( 27 x 296 ) / 7992
GCD(27, 296) = 7992 / 7992
GCD(27, 296) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 27, 296, 712, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 296, 712, 850?
GCD of 27, 296, 712, 850 is 1
2. Where do I get the detailed procedure to find GCD of 27, 296, 712, 850?
You can find a detailed procedure to find GCD of 27, 296, 712, 850 on our page.
3. How to find GCD of 27, 296, 712, 850 on a calculator?
You can find the GCD of 27, 296, 712, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.