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 249, 520, 54, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 520, 54, 291 is 1
GCD(249, 520, 54, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 520, 54, 291 is 1
GCD(249, 520, 54, 291) = 1
Given Input numbers are 249, 520, 54, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 249, 520, 54, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 520, 54, 291 is 1.
Therefore, GCD of numbers 249, 520, 54, 291 is 1
Given Input Data is 249, 520, 54, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 291 is 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(249, 520) = 129480
GCD(249, 520) = ( 249 x 520 ) / 129480
GCD(249, 520) = 129480 / 129480
GCD(249, 520) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 249, 520, 54, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 520, 54, 291?
GCD of 249, 520, 54, 291 is 1
2. Where do I get the detailed procedure to find GCD of 249, 520, 54, 291?
You can find a detailed procedure to find GCD of 249, 520, 54, 291 on our page.
3. How to find GCD of 249, 520, 54, 291 on a calculator?
You can find the GCD of 249, 520, 54, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.