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 18, 681, 712, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 681, 712, 162 is 1
GCD(18, 681, 712, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 681, 712, 162 is 1
GCD(18, 681, 712, 162) = 1
Given Input numbers are 18, 681, 712, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
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 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 18, 681, 712, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 681, 712, 162 is 1.
Therefore, GCD of numbers 18, 681, 712, 162 is 1
Given Input Data is 18, 681, 712, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 681 is 3 x 227
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 162 is 2 x 3 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(18, 681) = 4086
GCD(18, 681) = ( 18 x 681 ) / 4086
GCD(18, 681) = 12258 / 4086
GCD(18, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 712) = 2136
GCD(3, 712) = ( 3 x 712 ) / 2136
GCD(3, 712) = 2136 / 2136
GCD(3, 712) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 18, 681, 712, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 681, 712, 162?
GCD of 18, 681, 712, 162 is 1
2. Where do I get the detailed procedure to find GCD of 18, 681, 712, 162?
You can find a detailed procedure to find GCD of 18, 681, 712, 162 on our page.
3. How to find GCD of 18, 681, 712, 162 on a calculator?
You can find the GCD of 18, 681, 712, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.