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 37, 468, 963, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 468, 963, 185 is 1
GCD(37, 468, 963, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 468, 963, 185 is 1
GCD(37, 468, 963, 185) = 1
Given Input numbers are 37, 468, 963, 185
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 37, 468, 963, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 468, 963, 185 is 1.
Therefore, GCD of numbers 37, 468, 963, 185 is 1
Given Input Data is 37, 468, 963, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 185 is 5 x 37
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(37, 468) = 17316
GCD(37, 468) = ( 37 x 468 ) / 17316
GCD(37, 468) = 17316 / 17316
GCD(37, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
GCD(1, 185) = 185 / 185
GCD(1, 185) = 1
GCD of 37, 468, 963, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 468, 963, 185?
GCD of 37, 468, 963, 185 is 1
2. Where do I get the detailed procedure to find GCD of 37, 468, 963, 185?
You can find a detailed procedure to find GCD of 37, 468, 963, 185 on our page.
3. How to find GCD of 37, 468, 963, 185 on a calculator?
You can find the GCD of 37, 468, 963, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.