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, 602, 993, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 602, 993, 319 is 1
GCD(248, 602, 993, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 602, 993, 319 is 1
GCD(248, 602, 993, 319) = 1
Given Input numbers are 248, 602, 993, 319
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 248, 602, 993, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 602, 993, 319 is 1.
Therefore, GCD of numbers 248, 602, 993, 319 is 1
Given Input Data is 248, 602, 993, 319
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 602 is 2 x 7 x 43
Prime Factorization of 993 is 3 x 331
Prime Factorization of 319 is 11 x 29
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, 602) = 74648
GCD(248, 602) = ( 248 x 602 ) / 74648
GCD(248, 602) = 149296 / 74648
GCD(248, 602) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 993) = 1986
GCD(2, 993) = ( 2 x 993 ) / 1986
GCD(2, 993) = 1986 / 1986
GCD(2, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 248, 602, 993, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 602, 993, 319?
GCD of 248, 602, 993, 319 is 1
2. Where do I get the detailed procedure to find GCD of 248, 602, 993, 319?
You can find a detailed procedure to find GCD of 248, 602, 993, 319 on our page.
3. How to find GCD of 248, 602, 993, 319 on a calculator?
You can find the GCD of 248, 602, 993, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.