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 902, 567, 18, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 567, 18, 215 is 1
GCD(902, 567, 18, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 567, 18, 215 is 1
GCD(902, 567, 18, 215) = 1
Given Input numbers are 902, 567, 18, 215
To find the GCD of numbers using factoring list out all the divisors of each number
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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 902, 567, 18, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 567, 18, 215 is 1.
Therefore, GCD of numbers 902, 567, 18, 215 is 1
Given Input Data is 902, 567, 18, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 215 is 5 x 43
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(902, 567) = 511434
GCD(902, 567) = ( 902 x 567 ) / 511434
GCD(902, 567) = 511434 / 511434
GCD(902, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 902, 567, 18, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 567, 18, 215?
GCD of 902, 567, 18, 215 is 1
2. Where do I get the detailed procedure to find GCD of 902, 567, 18, 215?
You can find a detailed procedure to find GCD of 902, 567, 18, 215 on our page.
3. How to find GCD of 902, 567, 18, 215 on a calculator?
You can find the GCD of 902, 567, 18, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.