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, 777, 454, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 777, 454, 712 is 1
GCD(27, 777, 454, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 777, 454, 712 is 1
GCD(27, 777, 454, 712) = 1
Given Input numbers are 27, 777, 454, 712
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 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 27, 777, 454, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 777, 454, 712 is 1.
Therefore, GCD of numbers 27, 777, 454, 712 is 1
Given Input Data is 27, 777, 454, 712
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 777 is 3 x 7 x 37
Prime Factorization of 454 is 2 x 227
Prime Factorization of 712 is 2 x 2 x 2 x 89
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, 777) = 6993
GCD(27, 777) = ( 27 x 777 ) / 6993
GCD(27, 777) = 20979 / 6993
GCD(27, 777) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 454) = 1362
GCD(3, 454) = ( 3 x 454 ) / 1362
GCD(3, 454) = 1362 / 1362
GCD(3, 454) = 1
Step3:
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
GCD of 27, 777, 454, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 777, 454, 712?
GCD of 27, 777, 454, 712 is 1
2. Where do I get the detailed procedure to find GCD of 27, 777, 454, 712?
You can find a detailed procedure to find GCD of 27, 777, 454, 712 on our page.
3. How to find GCD of 27, 777, 454, 712 on a calculator?
You can find the GCD of 27, 777, 454, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.