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, 133, 265, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 540, 133, 265, 283 is 1
GCD(540, 133, 265, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 133, 265, 283 is 1
GCD(540, 133, 265, 283) = 1
Given Input numbers are 540, 133, 265, 283
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 540, 133, 265, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 133, 265, 283 is 1.
Therefore, GCD of numbers 540, 133, 265, 283 is 1
Given Input Data is 540, 133, 265, 283
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 133 is 7 x 19
Prime Factorization of 265 is 5 x 53
Prime Factorization of 283 is 283
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(540, 133) = 71820
GCD(540, 133) = ( 540 x 133 ) / 71820
GCD(540, 133) = 71820 / 71820
GCD(540, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 540, 133, 265, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 133, 265, 283?
GCD of 540, 133, 265, 283 is 1
2. Where do I get the detailed procedure to find GCD of 540, 133, 265, 283?
You can find a detailed procedure to find GCD of 540, 133, 265, 283 on our page.
3. How to find GCD of 540, 133, 265, 283 on a calculator?
You can find the GCD of 540, 133, 265, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.