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 848, 230, 172, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 230, 172, 809 is 1
GCD(848, 230, 172, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 230, 172, 809 is 1
GCD(848, 230, 172, 809) = 1
Given Input numbers are 848, 230, 172, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 848, 230, 172, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 230, 172, 809 is 1.
Therefore, GCD of numbers 848, 230, 172, 809 is 1
Given Input Data is 848, 230, 172, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 809 is 809
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(848, 230) = 97520
GCD(848, 230) = ( 848 x 230 ) / 97520
GCD(848, 230) = 195040 / 97520
GCD(848, 230) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
GCD(2, 172) = 344 / 172
GCD(2, 172) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 809) = 1618
GCD(2, 809) = ( 2 x 809 ) / 1618
GCD(2, 809) = 1618 / 1618
GCD(2, 809) = 1
GCD of 848, 230, 172, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 230, 172, 809?
GCD of 848, 230, 172, 809 is 1
2. Where do I get the detailed procedure to find GCD of 848, 230, 172, 809?
You can find a detailed procedure to find GCD of 848, 230, 172, 809 on our page.
3. How to find GCD of 848, 230, 172, 809 on a calculator?
You can find the GCD of 848, 230, 172, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.