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 932, 908, 36, 944 i.e. 4 largest integer that divides all the numbers equally.
GCD of 932, 908, 36, 944 is 4
GCD(932, 908, 36, 944) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 932, 908, 36, 944 is 4
GCD(932, 908, 36, 944) = 4
Given Input numbers are 932, 908, 36, 944
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Greatest Common Divisior
We found the divisors of 932, 908, 36, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 908, 36, 944 is 4.
Therefore, GCD of numbers 932, 908, 36, 944 is 4
Given Input Data is 932, 908, 36, 944
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(932, 908) = 211564
GCD(932, 908) = ( 932 x 908 ) / 211564
GCD(932, 908) = 846256 / 211564
GCD(932, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 36) = 36
GCD(4, 36) = ( 4 x 36 ) / 36
GCD(4, 36) = 144 / 36
GCD(4, 36) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 944) = 944
GCD(4, 944) = ( 4 x 944 ) / 944
GCD(4, 944) = 3776 / 944
GCD(4, 944) = 4
GCD of 932, 908, 36, 944 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 932, 908, 36, 944?
GCD of 932, 908, 36, 944 is 4
2. Where do I get the detailed procedure to find GCD of 932, 908, 36, 944?
You can find a detailed procedure to find GCD of 932, 908, 36, 944 on our page.
3. How to find GCD of 932, 908, 36, 944 on a calculator?
You can find the GCD of 932, 908, 36, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.