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 171, 571, 83, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 571, 83, 429 is 1
GCD(171, 571, 83, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 571, 83, 429 is 1
GCD(171, 571, 83, 429) = 1
Given Input numbers are 171, 571, 83, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 171, 571, 83, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 571, 83, 429 is 1.
Therefore, GCD of numbers 171, 571, 83, 429 is 1
Given Input Data is 171, 571, 83, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 571 is 571
Prime Factorization of 83 is 83
Prime Factorization of 429 is 3 x 11 x 13
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(171, 571) = 97641
GCD(171, 571) = ( 171 x 571 ) / 97641
GCD(171, 571) = 97641 / 97641
GCD(171, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
GCD of 171, 571, 83, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 571, 83, 429?
GCD of 171, 571, 83, 429 is 1
2. Where do I get the detailed procedure to find GCD of 171, 571, 83, 429?
You can find a detailed procedure to find GCD of 171, 571, 83, 429 on our page.
3. How to find GCD of 171, 571, 83, 429 on a calculator?
You can find the GCD of 171, 571, 83, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.