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, 527, 318, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 527, 318, 917 is 1
GCD(249, 527, 318, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 527, 318, 917 is 1
GCD(249, 527, 318, 917) = 1
Given Input numbers are 249, 527, 318, 917
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 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 249, 527, 318, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 527, 318, 917 is 1.
Therefore, GCD of numbers 249, 527, 318, 917 is 1
Given Input Data is 249, 527, 318, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 527 is 17 x 31
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 917 is 7 x 131
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, 527) = 131223
GCD(249, 527) = ( 249 x 527 ) / 131223
GCD(249, 527) = 131223 / 131223
GCD(249, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 249, 527, 318, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 527, 318, 917?
GCD of 249, 527, 318, 917 is 1
2. Where do I get the detailed procedure to find GCD of 249, 527, 318, 917?
You can find a detailed procedure to find GCD of 249, 527, 318, 917 on our page.
3. How to find GCD of 249, 527, 318, 917 on a calculator?
You can find the GCD of 249, 527, 318, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.