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, 164, 398, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 164, 398, 773 is 1
GCD(68, 164, 398, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 164, 398, 773 is 1
GCD(68, 164, 398, 773) = 1
Given Input numbers are 68, 164, 398, 773
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 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Greatest Common Divisior
We found the divisors of 68, 164, 398, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 164, 398, 773 is 1.
Therefore, GCD of numbers 68, 164, 398, 773 is 1
Given Input Data is 68, 164, 398, 773
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 164 is 2 x 2 x 41
Prime Factorization of 398 is 2 x 199
Prime Factorization of 773 is 773
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, 164) = 2788
GCD(68, 164) = ( 68 x 164 ) / 2788
GCD(68, 164) = 11152 / 2788
GCD(68, 164) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 398) = 796
GCD(4, 398) = ( 4 x 398 ) / 796
GCD(4, 398) = 1592 / 796
GCD(4, 398) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 773) = 1546
GCD(2, 773) = ( 2 x 773 ) / 1546
GCD(2, 773) = 1546 / 1546
GCD(2, 773) = 1
GCD of 68, 164, 398, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 164, 398, 773?
GCD of 68, 164, 398, 773 is 1
2. Where do I get the detailed procedure to find GCD of 68, 164, 398, 773?
You can find a detailed procedure to find GCD of 68, 164, 398, 773 on our page.
3. How to find GCD of 68, 164, 398, 773 on a calculator?
You can find the GCD of 68, 164, 398, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.