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, 696, 194, 468 i.e. 2 largest integer that divides all the numbers equally.
GCD of 118, 696, 194, 468 is 2
GCD(118, 696, 194, 468) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 696, 194, 468 is 2
GCD(118, 696, 194, 468) = 2
Given Input numbers are 118, 696, 194, 468
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 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 118, 696, 194, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 696, 194, 468 is 2.
Therefore, GCD of numbers 118, 696, 194, 468 is 2
Given Input Data is 118, 696, 194, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 194 is 2 x 97
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 696) = 41064
GCD(118, 696) = ( 118 x 696 ) / 41064
GCD(118, 696) = 82128 / 41064
GCD(118, 696) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 194) = 194
GCD(2, 194) = ( 2 x 194 ) / 194
GCD(2, 194) = 388 / 194
GCD(2, 194) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
GCD(2, 468) = 936 / 468
GCD(2, 468) = 2
GCD of 118, 696, 194, 468 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 696, 194, 468?
GCD of 118, 696, 194, 468 is 2
2. Where do I get the detailed procedure to find GCD of 118, 696, 194, 468?
You can find a detailed procedure to find GCD of 118, 696, 194, 468 on our page.
3. How to find GCD of 118, 696, 194, 468 on a calculator?
You can find the GCD of 118, 696, 194, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.