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, 499, 234, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 499, 234, 427 is 1
GCD(36, 499, 234, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 499, 234, 427 is 1
GCD(36, 499, 234, 427) = 1
Given Input numbers are 36, 499, 234, 427
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 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 36, 499, 234, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 499, 234, 427 is 1.
Therefore, GCD of numbers 36, 499, 234, 427 is 1
Given Input Data is 36, 499, 234, 427
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 499 is 499
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 427 is 7 x 61
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, 499) = 17964
GCD(36, 499) = ( 36 x 499 ) / 17964
GCD(36, 499) = 17964 / 17964
GCD(36, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 36, 499, 234, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 499, 234, 427?
GCD of 36, 499, 234, 427 is 1
2. Where do I get the detailed procedure to find GCD of 36, 499, 234, 427?
You can find a detailed procedure to find GCD of 36, 499, 234, 427 on our page.
3. How to find GCD of 36, 499, 234, 427 on a calculator?
You can find the GCD of 36, 499, 234, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.