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 968, 398, 493, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 968, 398, 493, 775 is 1
GCD(968, 398, 493, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 398, 493, 775 is 1
GCD(968, 398, 493, 775) = 1
Given Input numbers are 968, 398, 493, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 968, 398, 493, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 398, 493, 775 is 1.
Therefore, GCD of numbers 968, 398, 493, 775 is 1
Given Input Data is 968, 398, 493, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 398 is 2 x 199
Prime Factorization of 493 is 17 x 29
Prime Factorization of 775 is 5 x 5 x 31
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(968, 398) = 192632
GCD(968, 398) = ( 968 x 398 ) / 192632
GCD(968, 398) = 385264 / 192632
GCD(968, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
GCD(2, 493) = 986 / 986
GCD(2, 493) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 968, 398, 493, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 398, 493, 775?
GCD of 968, 398, 493, 775 is 1
2. Where do I get the detailed procedure to find GCD of 968, 398, 493, 775?
You can find a detailed procedure to find GCD of 968, 398, 493, 775 on our page.
3. How to find GCD of 968, 398, 493, 775 on a calculator?
You can find the GCD of 968, 398, 493, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.