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, 118, 18, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 118, 18, 121 is 1
GCD(360, 118, 18, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 118, 18, 121 is 1
GCD(360, 118, 18, 121) = 1
Given Input numbers are 360, 118, 18, 121
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 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 360, 118, 18, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 118, 18, 121 is 1.
Therefore, GCD of numbers 360, 118, 18, 121 is 1
Given Input Data is 360, 118, 18, 121
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 118 is 2 x 59
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 121 is 11 x 11
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, 118) = 21240
GCD(360, 118) = ( 360 x 118 ) / 21240
GCD(360, 118) = 42480 / 21240
GCD(360, 118) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
GCD of 360, 118, 18, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 118, 18, 121?
GCD of 360, 118, 18, 121 is 1
2. Where do I get the detailed procedure to find GCD of 360, 118, 18, 121?
You can find a detailed procedure to find GCD of 360, 118, 18, 121 on our page.
3. How to find GCD of 360, 118, 18, 121 on a calculator?
You can find the GCD of 360, 118, 18, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.