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 215, 818, 169, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 818, 169, 135 is 1
GCD(215, 818, 169, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 818, 169, 135 is 1
GCD(215, 818, 169, 135) = 1
Given Input numbers are 215, 818, 169, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 215, 818, 169, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 818, 169, 135 is 1.
Therefore, GCD of numbers 215, 818, 169, 135 is 1
Given Input Data is 215, 818, 169, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 818 is 2 x 409
Prime Factorization of 169 is 13 x 13
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(215, 818) = 175870
GCD(215, 818) = ( 215 x 818 ) / 175870
GCD(215, 818) = 175870 / 175870
GCD(215, 818) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 215, 818, 169, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 818, 169, 135?
GCD of 215, 818, 169, 135 is 1
2. Where do I get the detailed procedure to find GCD of 215, 818, 169, 135?
You can find a detailed procedure to find GCD of 215, 818, 169, 135 on our page.
3. How to find GCD of 215, 818, 169, 135 on a calculator?
You can find the GCD of 215, 818, 169, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.