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 68, 617, 245, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 617, 245, 999 is 1
GCD(68, 617, 245, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 617, 245, 999 is 1
GCD(68, 617, 245, 999) = 1
Given Input numbers are 68, 617, 245, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 68, 617, 245, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 617, 245, 999 is 1.
Therefore, GCD of numbers 68, 617, 245, 999 is 1
Given Input Data is 68, 617, 245, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 617 is 617
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 999 is 3 x 3 x 3 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(68, 617) = 41956
GCD(68, 617) = ( 68 x 617 ) / 41956
GCD(68, 617) = 41956 / 41956
GCD(68, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
GCD of 68, 617, 245, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 617, 245, 999?
GCD of 68, 617, 245, 999 is 1
2. Where do I get the detailed procedure to find GCD of 68, 617, 245, 999?
You can find a detailed procedure to find GCD of 68, 617, 245, 999 on our page.
3. How to find GCD of 68, 617, 245, 999 on a calculator?
You can find the GCD of 68, 617, 245, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.