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, 390, 604, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 390, 604, 823 is 1
GCD(118, 390, 604, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 390, 604, 823 is 1
GCD(118, 390, 604, 823) = 1
Given Input numbers are 118, 390, 604, 823
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 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 118, 390, 604, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 390, 604, 823 is 1.
Therefore, GCD of numbers 118, 390, 604, 823 is 1
Given Input Data is 118, 390, 604, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 823 is 823
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, 390) = 23010
GCD(118, 390) = ( 118 x 390 ) / 23010
GCD(118, 390) = 46020 / 23010
GCD(118, 390) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 604) = 604
GCD(2, 604) = ( 2 x 604 ) / 604
GCD(2, 604) = 1208 / 604
GCD(2, 604) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 823) = 1646
GCD(2, 823) = ( 2 x 823 ) / 1646
GCD(2, 823) = 1646 / 1646
GCD(2, 823) = 1
GCD of 118, 390, 604, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 390, 604, 823?
GCD of 118, 390, 604, 823 is 1
2. Where do I get the detailed procedure to find GCD of 118, 390, 604, 823?
You can find a detailed procedure to find GCD of 118, 390, 604, 823 on our page.
3. How to find GCD of 118, 390, 604, 823 on a calculator?
You can find the GCD of 118, 390, 604, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.