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 82, 111, 176, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 111, 176, 777 is 1
GCD(82, 111, 176, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 111, 176, 777 is 1
GCD(82, 111, 176, 777) = 1
Given Input numbers are 82, 111, 176, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 82, 111, 176, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 111, 176, 777 is 1.
Therefore, GCD of numbers 82, 111, 176, 777 is 1
Given Input Data is 82, 111, 176, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 111 is 3 x 37
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 777 is 3 x 7 x 37
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(82, 111) = 9102
GCD(82, 111) = ( 82 x 111 ) / 9102
GCD(82, 111) = 9102 / 9102
GCD(82, 111) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 82, 111, 176, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 111, 176, 777?
GCD of 82, 111, 176, 777 is 1
2. Where do I get the detailed procedure to find GCD of 82, 111, 176, 777?
You can find a detailed procedure to find GCD of 82, 111, 176, 777 on our page.
3. How to find GCD of 82, 111, 176, 777 on a calculator?
You can find the GCD of 82, 111, 176, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.