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 712, 230, 73, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 230, 73, 108 is 1
GCD(712, 230, 73, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 230, 73, 108 is 1
GCD(712, 230, 73, 108) = 1
Given Input numbers are 712, 230, 73, 108
To find the GCD of numbers using factoring list out all the divisors of each number
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 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 712, 230, 73, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 230, 73, 108 is 1.
Therefore, GCD of numbers 712, 230, 73, 108 is 1
Given Input Data is 712, 230, 73, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 73 is 73
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(712, 230) = 81880
GCD(712, 230) = ( 712 x 230 ) / 81880
GCD(712, 230) = 163760 / 81880
GCD(712, 230) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 712, 230, 73, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 230, 73, 108?
GCD of 712, 230, 73, 108 is 1
2. Where do I get the detailed procedure to find GCD of 712, 230, 73, 108?
You can find a detailed procedure to find GCD of 712, 230, 73, 108 on our page.
3. How to find GCD of 712, 230, 73, 108 on a calculator?
You can find the GCD of 712, 230, 73, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.