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 720, 222, 418 i.e. 2 largest integer that divides all the numbers equally.
GCD of 720, 222, 418 is 2
GCD(720, 222, 418) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 222, 418 is 2
GCD(720, 222, 418) = 2
Given Input numbers are 720, 222, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 720, 222, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 222, 418 is 2.
Therefore, GCD of numbers 720, 222, 418 is 2
Given Input Data is 720, 222, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 418 is 2 x 11 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(720, 222) = 26640
GCD(720, 222) = ( 720 x 222 ) / 26640
GCD(720, 222) = 159840 / 26640
GCD(720, 222) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 418) = 1254
GCD(6, 418) = ( 6 x 418 ) / 1254
GCD(6, 418) = 2508 / 1254
GCD(6, 418) = 2
GCD of 720, 222, 418 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 222, 418?
GCD of 720, 222, 418 is 2
2. Where do I get the detailed procedure to find GCD of 720, 222, 418?
You can find a detailed procedure to find GCD of 720, 222, 418 on our page.
3. How to find GCD of 720, 222, 418 on a calculator?
You can find the GCD of 720, 222, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.