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 829, 186, 71 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 186, 71 is 1
GCD(829, 186, 71) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 186, 71 is 1
GCD(829, 186, 71) = 1
Given Input numbers are 829, 186, 71
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Greatest Common Divisior
We found the divisors of 829, 186, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 186, 71 is 1.
Therefore, GCD of numbers 829, 186, 71 is 1
Given Input Data is 829, 186, 71
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 71 is 71
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(829, 186) = 154194
GCD(829, 186) = ( 829 x 186 ) / 154194
GCD(829, 186) = 154194 / 154194
GCD(829, 186) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
GCD of 829, 186, 71 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 186, 71?
GCD of 829, 186, 71 is 1
2. Where do I get the detailed procedure to find GCD of 829, 186, 71?
You can find a detailed procedure to find GCD of 829, 186, 71 on our page.
3. How to find GCD of 829, 186, 71 on a calculator?
You can find the GCD of 829, 186, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.