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 266, 540, 30, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 266, 540, 30, 873 is 1
GCD(266, 540, 30, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 266, 540, 30, 873 is 1
GCD(266, 540, 30, 873) = 1
Given Input numbers are 266, 540, 30, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
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 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 266, 540, 30, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 540, 30, 873 is 1.
Therefore, GCD of numbers 266, 540, 30, 873 is 1
Given Input Data is 266, 540, 30, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 873 is 3 x 3 x 97
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(266, 540) = 71820
GCD(266, 540) = ( 266 x 540 ) / 71820
GCD(266, 540) = 143640 / 71820
GCD(266, 540) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 873) = 1746
GCD(2, 873) = ( 2 x 873 ) / 1746
GCD(2, 873) = 1746 / 1746
GCD(2, 873) = 1
GCD of 266, 540, 30, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 266, 540, 30, 873?
GCD of 266, 540, 30, 873 is 1
2. Where do I get the detailed procedure to find GCD of 266, 540, 30, 873?
You can find a detailed procedure to find GCD of 266, 540, 30, 873 on our page.
3. How to find GCD of 266, 540, 30, 873 on a calculator?
You can find the GCD of 266, 540, 30, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.