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 360, 296, 495, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 296, 495, 135 is 1
GCD(360, 296, 495, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 296, 495, 135 is 1
GCD(360, 296, 495, 135) = 1
Given Input numbers are 360, 296, 495, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
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 360, 296, 495, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 296, 495, 135 is 1.
Therefore, GCD of numbers 360, 296, 495, 135 is 1
Given Input Data is 360, 296, 495, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(360, 296) = 13320
GCD(360, 296) = ( 360 x 296 ) / 13320
GCD(360, 296) = 106560 / 13320
GCD(360, 296) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 495) = 3960
GCD(8, 495) = ( 8 x 495 ) / 3960
GCD(8, 495) = 3960 / 3960
GCD(8, 495) = 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 360, 296, 495, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 296, 495, 135?
GCD of 360, 296, 495, 135 is 1
2. Where do I get the detailed procedure to find GCD of 360, 296, 495, 135?
You can find a detailed procedure to find GCD of 360, 296, 495, 135 on our page.
3. How to find GCD of 360, 296, 495, 135 on a calculator?
You can find the GCD of 360, 296, 495, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.