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 418, 412, 818, 718 i.e. 2 largest integer that divides all the numbers equally.
GCD of 418, 412, 818, 718 is 2
GCD(418, 412, 818, 718) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 418, 412, 818, 718 is 2
GCD(418, 412, 818, 718) = 2
Given Input numbers are 418, 412, 818, 718
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 418, 412, 818, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 412, 818, 718 is 2.
Therefore, GCD of numbers 418, 412, 818, 718 is 2
Given Input Data is 418, 412, 818, 718
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 818 is 2 x 409
Prime Factorization of 718 is 2 x 359
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(418, 412) = 86108
GCD(418, 412) = ( 418 x 412 ) / 86108
GCD(418, 412) = 172216 / 86108
GCD(418, 412) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 818) = 818
GCD(2, 818) = ( 2 x 818 ) / 818
GCD(2, 818) = 1636 / 818
GCD(2, 818) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 718) = 718
GCD(2, 718) = ( 2 x 718 ) / 718
GCD(2, 718) = 1436 / 718
GCD(2, 718) = 2
GCD of 418, 412, 818, 718 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 418, 412, 818, 718?
GCD of 418, 412, 818, 718 is 2
2. Where do I get the detailed procedure to find GCD of 418, 412, 818, 718?
You can find a detailed procedure to find GCD of 418, 412, 818, 718 on our page.
3. How to find GCD of 418, 412, 818, 718 on a calculator?
You can find the GCD of 418, 412, 818, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.