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 81, 176, 997, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 176, 997, 427 is 1
GCD(81, 176, 997, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 176, 997, 427 is 1
GCD(81, 176, 997, 427) = 1
Given Input numbers are 81, 176, 997, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 81, 176, 997, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 176, 997, 427 is 1.
Therefore, GCD of numbers 81, 176, 997, 427 is 1
Given Input Data is 81, 176, 997, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 997 is 997
Prime Factorization of 427 is 7 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(81, 176) = 14256
GCD(81, 176) = ( 81 x 176 ) / 14256
GCD(81, 176) = 14256 / 14256
GCD(81, 176) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 81, 176, 997, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 176, 997, 427?
GCD of 81, 176, 997, 427 is 1
2. Where do I get the detailed procedure to find GCD of 81, 176, 997, 427?
You can find a detailed procedure to find GCD of 81, 176, 997, 427 on our page.
3. How to find GCD of 81, 176, 997, 427 on a calculator?
You can find the GCD of 81, 176, 997, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.