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, 104, 932 i.e. 2 largest integer that divides all the numbers equally.
GCD of 954, 104, 932 is 2
GCD(954, 104, 932) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 104, 932 is 2
GCD(954, 104, 932) = 2
Given Input numbers are 954, 104, 932
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 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 954, 104, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 104, 932 is 2.
Therefore, GCD of numbers 954, 104, 932 is 2
Given Input Data is 954, 104, 932
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 104 is 2 x 2 x 2 x 13
Prime Factorization of 932 is 2 x 2 x 233
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(954, 104) = 49608
GCD(954, 104) = ( 954 x 104 ) / 49608
GCD(954, 104) = 99216 / 49608
GCD(954, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
GCD(2, 932) = 1864 / 932
GCD(2, 932) = 2
GCD of 954, 104, 932 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 104, 932?
GCD of 954, 104, 932 is 2
2. Where do I get the detailed procedure to find GCD of 954, 104, 932?
You can find a detailed procedure to find GCD of 954, 104, 932 on our page.
3. How to find GCD of 954, 104, 932 on a calculator?
You can find the GCD of 954, 104, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.