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 172, 373, 15, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 373, 15, 449 is 1
GCD(172, 373, 15, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 373, 15, 449 is 1
GCD(172, 373, 15, 449) = 1
Given Input numbers are 172, 373, 15, 449
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 172, 373, 15, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 373, 15, 449 is 1.
Therefore, GCD of numbers 172, 373, 15, 449 is 1
Given Input Data is 172, 373, 15, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 373 is 373
Prime Factorization of 15 is 3 x 5
Prime Factorization of 449 is 449
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(172, 373) = 64156
GCD(172, 373) = ( 172 x 373 ) / 64156
GCD(172, 373) = 64156 / 64156
GCD(172, 373) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 172, 373, 15, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 373, 15, 449?
GCD of 172, 373, 15, 449 is 1
2. Where do I get the detailed procedure to find GCD of 172, 373, 15, 449?
You can find a detailed procedure to find GCD of 172, 373, 15, 449 on our page.
3. How to find GCD of 172, 373, 15, 449 on a calculator?
You can find the GCD of 172, 373, 15, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.