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 76, 845, 277, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 845, 277, 823 is 1
GCD(76, 845, 277, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 845, 277, 823 is 1
GCD(76, 845, 277, 823) = 1
Given Input numbers are 76, 845, 277, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 76, 845, 277, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 845, 277, 823 is 1.
Therefore, GCD of numbers 76, 845, 277, 823 is 1
Given Input Data is 76, 845, 277, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 277 is 277
Prime Factorization of 823 is 823
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(76, 845) = 64220
GCD(76, 845) = ( 76 x 845 ) / 64220
GCD(76, 845) = 64220 / 64220
GCD(76, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 76, 845, 277, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 845, 277, 823?
GCD of 76, 845, 277, 823 is 1
2. Where do I get the detailed procedure to find GCD of 76, 845, 277, 823?
You can find a detailed procedure to find GCD of 76, 845, 277, 823 on our page.
3. How to find GCD of 76, 845, 277, 823 on a calculator?
You can find the GCD of 76, 845, 277, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.