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 44, 908, 117, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 908, 117, 704 is 1
GCD(44, 908, 117, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 908, 117, 704 is 1
GCD(44, 908, 117, 704) = 1
Given Input numbers are 44, 908, 117, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 44, 908, 117, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 908, 117, 704 is 1.
Therefore, GCD of numbers 44, 908, 117, 704 is 1
Given Input Data is 44, 908, 117, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(44, 908) = 9988
GCD(44, 908) = ( 44 x 908 ) / 9988
GCD(44, 908) = 39952 / 9988
GCD(44, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 117) = 468
GCD(4, 117) = ( 4 x 117 ) / 468
GCD(4, 117) = 468 / 468
GCD(4, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 44, 908, 117, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 908, 117, 704?
GCD of 44, 908, 117, 704 is 1
2. Where do I get the detailed procedure to find GCD of 44, 908, 117, 704?
You can find a detailed procedure to find GCD of 44, 908, 117, 704 on our page.
3. How to find GCD of 44, 908, 117, 704 on a calculator?
You can find the GCD of 44, 908, 117, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.