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 954, 146, 117, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 146, 117, 394 is 1
GCD(954, 146, 117, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 146, 117, 394 is 1
GCD(954, 146, 117, 394) = 1
Given Input numbers are 954, 146, 117, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 954, 146, 117, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 146, 117, 394 is 1.
Therefore, GCD of numbers 954, 146, 117, 394 is 1
Given Input Data is 954, 146, 117, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 146 is 2 x 73
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 394 is 2 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(954, 146) = 69642
GCD(954, 146) = ( 954 x 146 ) / 69642
GCD(954, 146) = 139284 / 69642
GCD(954, 146) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 117) = 234
GCD(2, 117) = ( 2 x 117 ) / 234
GCD(2, 117) = 234 / 234
GCD(2, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 954, 146, 117, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 146, 117, 394?
GCD of 954, 146, 117, 394 is 1
2. Where do I get the detailed procedure to find GCD of 954, 146, 117, 394?
You can find a detailed procedure to find GCD of 954, 146, 117, 394 on our page.
3. How to find GCD of 954, 146, 117, 394 on a calculator?
You can find the GCD of 954, 146, 117, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.