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 12, 465, 902, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 465, 902, 213 is 1
GCD(12, 465, 902, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 465, 902, 213 is 1
GCD(12, 465, 902, 213) = 1
Given Input numbers are 12, 465, 902, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 12, 465, 902, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 465, 902, 213 is 1.
Therefore, GCD of numbers 12, 465, 902, 213 is 1
Given Input Data is 12, 465, 902, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 213 is 3 x 71
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(12, 465) = 1860
GCD(12, 465) = ( 12 x 465 ) / 1860
GCD(12, 465) = 5580 / 1860
GCD(12, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 902) = 2706
GCD(3, 902) = ( 3 x 902 ) / 2706
GCD(3, 902) = 2706 / 2706
GCD(3, 902) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 12, 465, 902, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 465, 902, 213?
GCD of 12, 465, 902, 213 is 1
2. Where do I get the detailed procedure to find GCD of 12, 465, 902, 213?
You can find a detailed procedure to find GCD of 12, 465, 902, 213 on our page.
3. How to find GCD of 12, 465, 902, 213 on a calculator?
You can find the GCD of 12, 465, 902, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.