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 808, 470, 173, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 470, 173, 537 is 1
GCD(808, 470, 173, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 470, 173, 537 is 1
GCD(808, 470, 173, 537) = 1
Given Input numbers are 808, 470, 173, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 808, 470, 173, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 470, 173, 537 is 1.
Therefore, GCD of numbers 808, 470, 173, 537 is 1
Given Input Data is 808, 470, 173, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 173 is 173
Prime Factorization of 537 is 3 x 179
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(808, 470) = 189880
GCD(808, 470) = ( 808 x 470 ) / 189880
GCD(808, 470) = 379760 / 189880
GCD(808, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 173) = 346
GCD(2, 173) = ( 2 x 173 ) / 346
GCD(2, 173) = 346 / 346
GCD(2, 173) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 808, 470, 173, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 470, 173, 537?
GCD of 808, 470, 173, 537 is 1
2. Where do I get the detailed procedure to find GCD of 808, 470, 173, 537?
You can find a detailed procedure to find GCD of 808, 470, 173, 537 on our page.
3. How to find GCD of 808, 470, 173, 537 on a calculator?
You can find the GCD of 808, 470, 173, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.