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 118, 814, 12, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 814, 12, 985 is 1
GCD(118, 814, 12, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 814, 12, 985 is 1
GCD(118, 814, 12, 985) = 1
Given Input numbers are 118, 814, 12, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 118, 814, 12, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 814, 12, 985 is 1.
Therefore, GCD of numbers 118, 814, 12, 985 is 1
Given Input Data is 118, 814, 12, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 985 is 5 x 197
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(118, 814) = 48026
GCD(118, 814) = ( 118 x 814 ) / 48026
GCD(118, 814) = 96052 / 48026
GCD(118, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
GCD(2, 985) = 1970 / 1970
GCD(2, 985) = 1
GCD of 118, 814, 12, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 814, 12, 985?
GCD of 118, 814, 12, 985 is 1
2. Where do I get the detailed procedure to find GCD of 118, 814, 12, 985?
You can find a detailed procedure to find GCD of 118, 814, 12, 985 on our page.
3. How to find GCD of 118, 814, 12, 985 on a calculator?
You can find the GCD of 118, 814, 12, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.