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, 851, 470, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 851, 470, 227 is 1
GCD(36, 851, 470, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 851, 470, 227 is 1
GCD(36, 851, 470, 227) = 1
Given Input numbers are 36, 851, 470, 227
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 36, 851, 470, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 851, 470, 227 is 1.
Therefore, GCD of numbers 36, 851, 470, 227 is 1
Given Input Data is 36, 851, 470, 227
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 851 is 23 x 37
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 227 is 227
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, 851) = 30636
GCD(36, 851) = ( 36 x 851 ) / 30636
GCD(36, 851) = 30636 / 30636
GCD(36, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 36, 851, 470, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 851, 470, 227?
GCD of 36, 851, 470, 227 is 1
2. Where do I get the detailed procedure to find GCD of 36, 851, 470, 227?
You can find a detailed procedure to find GCD of 36, 851, 470, 227 on our page.
3. How to find GCD of 36, 851, 470, 227 on a calculator?
You can find the GCD of 36, 851, 470, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.