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 748, 817, 843, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 817, 843, 305 is 1
GCD(748, 817, 843, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 817, 843, 305 is 1
GCD(748, 817, 843, 305) = 1
Given Input numbers are 748, 817, 843, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 748, 817, 843, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 817, 843, 305 is 1.
Therefore, GCD of numbers 748, 817, 843, 305 is 1
Given Input Data is 748, 817, 843, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 817 is 19 x 43
Prime Factorization of 843 is 3 x 281
Prime Factorization of 305 is 5 x 61
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(748, 817) = 611116
GCD(748, 817) = ( 748 x 817 ) / 611116
GCD(748, 817) = 611116 / 611116
GCD(748, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 748, 817, 843, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 817, 843, 305?
GCD of 748, 817, 843, 305 is 1
2. Where do I get the detailed procedure to find GCD of 748, 817, 843, 305?
You can find a detailed procedure to find GCD of 748, 817, 843, 305 on our page.
3. How to find GCD of 748, 817, 843, 305 on a calculator?
You can find the GCD of 748, 817, 843, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.