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 173, 824, 496, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 824, 496, 491 is 1
GCD(173, 824, 496, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 824, 496, 491 is 1
GCD(173, 824, 496, 491) = 1
Given Input numbers are 173, 824, 496, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 173, 824, 496, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 824, 496, 491 is 1.
Therefore, GCD of numbers 173, 824, 496, 491 is 1
Given Input Data is 173, 824, 496, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 491 is 491
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(173, 824) = 142552
GCD(173, 824) = ( 173 x 824 ) / 142552
GCD(173, 824) = 142552 / 142552
GCD(173, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 173, 824, 496, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 824, 496, 491?
GCD of 173, 824, 496, 491 is 1
2. Where do I get the detailed procedure to find GCD of 173, 824, 496, 491?
You can find a detailed procedure to find GCD of 173, 824, 496, 491 on our page.
3. How to find GCD of 173, 824, 496, 491 on a calculator?
You can find the GCD of 173, 824, 496, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.