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 540, 298, 36, 338 i.e. 2 largest integer that divides all the numbers equally.
GCD of 540, 298, 36, 338 is 2
GCD(540, 298, 36, 338) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 298, 36, 338 is 2
GCD(540, 298, 36, 338) = 2
Given Input numbers are 540, 298, 36, 338
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 540, 298, 36, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 298, 36, 338 is 2.
Therefore, GCD of numbers 540, 298, 36, 338 is 2
Given Input Data is 540, 298, 36, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 298 is 2 x 149
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 338 is 2 x 13 x 13
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(540, 298) = 80460
GCD(540, 298) = ( 540 x 298 ) / 80460
GCD(540, 298) = 160920 / 80460
GCD(540, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
GCD(2, 338) = 676 / 338
GCD(2, 338) = 2
GCD of 540, 298, 36, 338 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 298, 36, 338?
GCD of 540, 298, 36, 338 is 2
2. Where do I get the detailed procedure to find GCD of 540, 298, 36, 338?
You can find a detailed procedure to find GCD of 540, 298, 36, 338 on our page.
3. How to find GCD of 540, 298, 36, 338 on a calculator?
You can find the GCD of 540, 298, 36, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.