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 449, 209, 83, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 449, 209, 83, 172 is 1
GCD(449, 209, 83, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 449, 209, 83, 172 is 1
GCD(449, 209, 83, 172) = 1
Given Input numbers are 449, 209, 83, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 449, 209, 83, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 209, 83, 172 is 1.
Therefore, GCD of numbers 449, 209, 83, 172 is 1
Given Input Data is 449, 209, 83, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 449 is 449
Prime Factorization of 209 is 11 x 19
Prime Factorization of 83 is 83
Prime Factorization of 172 is 2 x 2 x 43
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(449, 209) = 93841
GCD(449, 209) = ( 449 x 209 ) / 93841
GCD(449, 209) = 93841 / 93841
GCD(449, 209) = 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 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 449, 209, 83, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 449, 209, 83, 172?
GCD of 449, 209, 83, 172 is 1
2. Where do I get the detailed procedure to find GCD of 449, 209, 83, 172?
You can find a detailed procedure to find GCD of 449, 209, 83, 172 on our page.
3. How to find GCD of 449, 209, 83, 172 on a calculator?
You can find the GCD of 449, 209, 83, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.