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 248, 254, 67, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 254, 67, 518 is 1
GCD(248, 254, 67, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 254, 67, 518 is 1
GCD(248, 254, 67, 518) = 1
Given Input numbers are 248, 254, 67, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 248, 254, 67, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 254, 67, 518 is 1.
Therefore, GCD of numbers 248, 254, 67, 518 is 1
Given Input Data is 248, 254, 67, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 254 is 2 x 127
Prime Factorization of 67 is 67
Prime Factorization of 518 is 2 x 7 x 37
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(248, 254) = 31496
GCD(248, 254) = ( 248 x 254 ) / 31496
GCD(248, 254) = 62992 / 31496
GCD(248, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 248, 254, 67, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 254, 67, 518?
GCD of 248, 254, 67, 518 is 1
2. Where do I get the detailed procedure to find GCD of 248, 254, 67, 518?
You can find a detailed procedure to find GCD of 248, 254, 67, 518 on our page.
3. How to find GCD of 248, 254, 67, 518 on a calculator?
You can find the GCD of 248, 254, 67, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.