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, 338, 613, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 618, 338, 613, 540 is 1
GCD(618, 338, 613, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 338, 613, 540 is 1
GCD(618, 338, 613, 540) = 1
Given Input numbers are 618, 338, 613, 540
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 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 618, 338, 613, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 338, 613, 540 is 1.
Therefore, GCD of numbers 618, 338, 613, 540 is 1
Given Input Data is 618, 338, 613, 540
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 338 is 2 x 13 x 13
Prime Factorization of 613 is 613
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
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, 338) = 104442
GCD(618, 338) = ( 618 x 338 ) / 104442
GCD(618, 338) = 208884 / 104442
GCD(618, 338) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 613) = 1226
GCD(2, 613) = ( 2 x 613 ) / 1226
GCD(2, 613) = 1226 / 1226
GCD(2, 613) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 618, 338, 613, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 618, 338, 613, 540?
GCD of 618, 338, 613, 540 is 1
2. Where do I get the detailed procedure to find GCD of 618, 338, 613, 540?
You can find a detailed procedure to find GCD of 618, 338, 613, 540 on our page.
3. How to find GCD of 618, 338, 613, 540 on a calculator?
You can find the GCD of 618, 338, 613, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.