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 476, 723, 77, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 723, 77, 839 is 1
GCD(476, 723, 77, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 723, 77, 839 is 1
GCD(476, 723, 77, 839) = 1
Given Input numbers are 476, 723, 77, 839
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 476, 723, 77, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 723, 77, 839 is 1.
Therefore, GCD of numbers 476, 723, 77, 839 is 1
Given Input Data is 476, 723, 77, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 723 is 3 x 241
Prime Factorization of 77 is 7 x 11
Prime Factorization of 839 is 839
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(476, 723) = 344148
GCD(476, 723) = ( 476 x 723 ) / 344148
GCD(476, 723) = 344148 / 344148
GCD(476, 723) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 839) = 839
GCD(1, 839) = ( 1 x 839 ) / 839
GCD(1, 839) = 839 / 839
GCD(1, 839) = 1
GCD of 476, 723, 77, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 723, 77, 839?
GCD of 476, 723, 77, 839 is 1
2. Where do I get the detailed procedure to find GCD of 476, 723, 77, 839?
You can find a detailed procedure to find GCD of 476, 723, 77, 839 on our page.
3. How to find GCD of 476, 723, 77, 839 on a calculator?
You can find the GCD of 476, 723, 77, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.