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 115, 360, 550, 120 i.e. 5 largest integer that divides all the numbers equally.
GCD of 115, 360, 550, 120 is 5
GCD(115, 360, 550, 120) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 360, 550, 120 is 5
GCD(115, 360, 550, 120) = 5
Given Input numbers are 115, 360, 550, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
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 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 115, 360, 550, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 360, 550, 120 is 5.
Therefore, GCD of numbers 115, 360, 550, 120 is 5
Given Input Data is 115, 360, 550, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(115, 360) = 8280
GCD(115, 360) = ( 115 x 360 ) / 8280
GCD(115, 360) = 41400 / 8280
GCD(115, 360) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 550) = 550
GCD(5, 550) = ( 5 x 550 ) / 550
GCD(5, 550) = 2750 / 550
GCD(5, 550) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 120) = 120
GCD(5, 120) = ( 5 x 120 ) / 120
GCD(5, 120) = 600 / 120
GCD(5, 120) = 5
GCD of 115, 360, 550, 120 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 360, 550, 120?
GCD of 115, 360, 550, 120 is 5
2. Where do I get the detailed procedure to find GCD of 115, 360, 550, 120?
You can find a detailed procedure to find GCD of 115, 360, 550, 120 on our page.
3. How to find GCD of 115, 360, 550, 120 on a calculator?
You can find the GCD of 115, 360, 550, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.