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 78, 723, 103, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 723, 103, 746 is 1
GCD(78, 723, 103, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 723, 103, 746 is 1
GCD(78, 723, 103, 746) = 1
Given Input numbers are 78, 723, 103, 746
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 78, 723, 103, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 723, 103, 746 is 1.
Therefore, GCD of numbers 78, 723, 103, 746 is 1
Given Input Data is 78, 723, 103, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 723 is 3 x 241
Prime Factorization of 103 is 103
Prime Factorization of 746 is 2 x 373
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(78, 723) = 18798
GCD(78, 723) = ( 78 x 723 ) / 18798
GCD(78, 723) = 56394 / 18798
GCD(78, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 78, 723, 103, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 723, 103, 746?
GCD of 78, 723, 103, 746 is 1
2. Where do I get the detailed procedure to find GCD of 78, 723, 103, 746?
You can find a detailed procedure to find GCD of 78, 723, 103, 746 on our page.
3. How to find GCD of 78, 723, 103, 746 on a calculator?
You can find the GCD of 78, 723, 103, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.