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 160, 230, 85, 485 i.e. 5 largest integer that divides all the numbers equally.
GCD of 160, 230, 85, 485 is 5
GCD(160, 230, 85, 485) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 230, 85, 485 is 5
GCD(160, 230, 85, 485) = 5
Given Input numbers are 160, 230, 85, 485
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Greatest Common Divisior
We found the divisors of 160, 230, 85, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 230, 85, 485 is 5.
Therefore, GCD of numbers 160, 230, 85, 485 is 5
Given Input Data is 160, 230, 85, 485
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 85 is 5 x 17
Prime Factorization of 485 is 5 x 97
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(160, 230) = 3680
GCD(160, 230) = ( 160 x 230 ) / 3680
GCD(160, 230) = 36800 / 3680
GCD(160, 230) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 85) = 170
GCD(10, 85) = ( 10 x 85 ) / 170
GCD(10, 85) = 850 / 170
GCD(10, 85) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 485
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 485) = 485
GCD(5, 485) = ( 5 x 485 ) / 485
GCD(5, 485) = 2425 / 485
GCD(5, 485) = 5
GCD of 160, 230, 85, 485 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 230, 85, 485?
GCD of 160, 230, 85, 485 is 5
2. Where do I get the detailed procedure to find GCD of 160, 230, 85, 485?
You can find a detailed procedure to find GCD of 160, 230, 85, 485 on our page.
3. How to find GCD of 160, 230, 85, 485 on a calculator?
You can find the GCD of 160, 230, 85, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.