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, 576, 166, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 576, 166, 550 is 1
GCD(829, 576, 166, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 576, 166, 550 is 1
GCD(829, 576, 166, 550) = 1
Given Input numbers are 829, 576, 166, 550
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 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 829, 576, 166, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 576, 166, 550 is 1.
Therefore, GCD of numbers 829, 576, 166, 550 is 1
Given Input Data is 829, 576, 166, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 166 is 2 x 83
Prime Factorization of 550 is 2 x 5 x 5 x 11
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, 576) = 477504
GCD(829, 576) = ( 829 x 576 ) / 477504
GCD(829, 576) = 477504 / 477504
GCD(829, 576) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 829, 576, 166, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 576, 166, 550?
GCD of 829, 576, 166, 550 is 1
2. Where do I get the detailed procedure to find GCD of 829, 576, 166, 550?
You can find a detailed procedure to find GCD of 829, 576, 166, 550 on our page.
3. How to find GCD of 829, 576, 166, 550 on a calculator?
You can find the GCD of 829, 576, 166, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.