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, 174, 17, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 174, 17, 870 is 1
GCD(808, 174, 17, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 174, 17, 870 is 1
GCD(808, 174, 17, 870) = 1
Given Input numbers are 808, 174, 17, 870
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 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 808, 174, 17, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 174, 17, 870 is 1.
Therefore, GCD of numbers 808, 174, 17, 870 is 1
Given Input Data is 808, 174, 17, 870
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 174 is 2 x 3 x 29
Prime Factorization of 17 is 17
Prime Factorization of 870 is 2 x 3 x 5 x 29
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, 174) = 70296
GCD(808, 174) = ( 808 x 174 ) / 70296
GCD(808, 174) = 140592 / 70296
GCD(808, 174) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
GCD(2, 17) = 34 / 34
GCD(2, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
GCD of 808, 174, 17, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 174, 17, 870?
GCD of 808, 174, 17, 870 is 1
2. Where do I get the detailed procedure to find GCD of 808, 174, 17, 870?
You can find a detailed procedure to find GCD of 808, 174, 17, 870 on our page.
3. How to find GCD of 808, 174, 17, 870 on a calculator?
You can find the GCD of 808, 174, 17, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.