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 267, 159, 28, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 159, 28, 216 is 1
GCD(267, 159, 28, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 159, 28, 216 is 1
GCD(267, 159, 28, 216) = 1
Given Input numbers are 267, 159, 28, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 267, 159, 28, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 159, 28, 216 is 1.
Therefore, GCD of numbers 267, 159, 28, 216 is 1
Given Input Data is 267, 159, 28, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 159 is 3 x 53
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(267, 159) = 14151
GCD(267, 159) = ( 267 x 159 ) / 14151
GCD(267, 159) = 42453 / 14151
GCD(267, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 28) = 84
GCD(3, 28) = ( 3 x 28 ) / 84
GCD(3, 28) = 84 / 84
GCD(3, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 267, 159, 28, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 159, 28, 216?
GCD of 267, 159, 28, 216 is 1
2. Where do I get the detailed procedure to find GCD of 267, 159, 28, 216?
You can find a detailed procedure to find GCD of 267, 159, 28, 216 on our page.
3. How to find GCD of 267, 159, 28, 216 on a calculator?
You can find the GCD of 267, 159, 28, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.