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 36, 908, 106, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 908, 106, 973 is 1
GCD(36, 908, 106, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 908, 106, 973 is 1
GCD(36, 908, 106, 973) = 1
Given Input numbers are 36, 908, 106, 973
To find the GCD of numbers using factoring list out all the divisors of each number
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 36, 908, 106, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 908, 106, 973 is 1.
Therefore, GCD of numbers 36, 908, 106, 973 is 1
Given Input Data is 36, 908, 106, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 106 is 2 x 53
Prime Factorization of 973 is 7 x 139
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(36, 908) = 8172
GCD(36, 908) = ( 36 x 908 ) / 8172
GCD(36, 908) = 32688 / 8172
GCD(36, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 106) = 212
GCD(4, 106) = ( 4 x 106 ) / 212
GCD(4, 106) = 424 / 212
GCD(4, 106) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 973) = 1946
GCD(2, 973) = ( 2 x 973 ) / 1946
GCD(2, 973) = 1946 / 1946
GCD(2, 973) = 1
GCD of 36, 908, 106, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 908, 106, 973?
GCD of 36, 908, 106, 973 is 1
2. Where do I get the detailed procedure to find GCD of 36, 908, 106, 973?
You can find a detailed procedure to find GCD of 36, 908, 106, 973 on our page.
3. How to find GCD of 36, 908, 106, 973 on a calculator?
You can find the GCD of 36, 908, 106, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.