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 249, 135, 80, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 135, 80, 867 is 1
GCD(249, 135, 80, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 135, 80, 867 is 1
GCD(249, 135, 80, 867) = 1
Given Input numbers are 249, 135, 80, 867
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 249, 135, 80, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 135, 80, 867 is 1.
Therefore, GCD of numbers 249, 135, 80, 867 is 1
Given Input Data is 249, 135, 80, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 867 is 3 x 17 x 17
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(249, 135) = 11205
GCD(249, 135) = ( 249 x 135 ) / 11205
GCD(249, 135) = 33615 / 11205
GCD(249, 135) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 249, 135, 80, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 135, 80, 867?
GCD of 249, 135, 80, 867 is 1
2. Where do I get the detailed procedure to find GCD of 249, 135, 80, 867?
You can find a detailed procedure to find GCD of 249, 135, 80, 867 on our page.
3. How to find GCD of 249, 135, 80, 867 on a calculator?
You can find the GCD of 249, 135, 80, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.