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, 450, 163, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 450, 163, 156 is 1
GCD(215, 450, 163, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 450, 163, 156 is 1
GCD(215, 450, 163, 156) = 1
Given Input numbers are 215, 450, 163, 156
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 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 215, 450, 163, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 450, 163, 156 is 1.
Therefore, GCD of numbers 215, 450, 163, 156 is 1
Given Input Data is 215, 450, 163, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 163 is 163
Prime Factorization of 156 is 2 x 2 x 3 x 13
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, 450) = 19350
GCD(215, 450) = ( 215 x 450 ) / 19350
GCD(215, 450) = 96750 / 19350
GCD(215, 450) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 163) = 815
GCD(5, 163) = ( 5 x 163 ) / 815
GCD(5, 163) = 815 / 815
GCD(5, 163) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 215, 450, 163, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 450, 163, 156?
GCD of 215, 450, 163, 156 is 1
2. Where do I get the detailed procedure to find GCD of 215, 450, 163, 156?
You can find a detailed procedure to find GCD of 215, 450, 163, 156 on our page.
3. How to find GCD of 215, 450, 163, 156 on a calculator?
You can find the GCD of 215, 450, 163, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.