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 618, 367, 510, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 618, 367, 510, 217 is 1
GCD(618, 367, 510, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 367, 510, 217 is 1
GCD(618, 367, 510, 217) = 1
Given Input numbers are 618, 367, 510, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 618, 367, 510, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 367, 510, 217 is 1.
Therefore, GCD of numbers 618, 367, 510, 217 is 1
Given Input Data is 618, 367, 510, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 367 is 367
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 217 is 7 x 31
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(618, 367) = 226806
GCD(618, 367) = ( 618 x 367 ) / 226806
GCD(618, 367) = 226806 / 226806
GCD(618, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
GCD of 618, 367, 510, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 618, 367, 510, 217?
GCD of 618, 367, 510, 217 is 1
2. Where do I get the detailed procedure to find GCD of 618, 367, 510, 217?
You can find a detailed procedure to find GCD of 618, 367, 510, 217 on our page.
3. How to find GCD of 618, 367, 510, 217 on a calculator?
You can find the GCD of 618, 367, 510, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.