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 230, 673, 413, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 673, 413, 160 is 1
GCD(230, 673, 413, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 673, 413, 160 is 1
GCD(230, 673, 413, 160) = 1
Given Input numbers are 230, 673, 413, 160
To find the GCD of numbers using factoring list out all the divisors of each number
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 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
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
Greatest Common Divisior
We found the divisors of 230, 673, 413, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 673, 413, 160 is 1.
Therefore, GCD of numbers 230, 673, 413, 160 is 1
Given Input Data is 230, 673, 413, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 673 is 673
Prime Factorization of 413 is 7 x 59
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(230, 673) = 154790
GCD(230, 673) = ( 230 x 673 ) / 154790
GCD(230, 673) = 154790 / 154790
GCD(230, 673) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 230, 673, 413, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 673, 413, 160?
GCD of 230, 673, 413, 160 is 1
2. Where do I get the detailed procedure to find GCD of 230, 673, 413, 160?
You can find a detailed procedure to find GCD of 230, 673, 413, 160 on our page.
3. How to find GCD of 230, 673, 413, 160 on a calculator?
You can find the GCD of 230, 673, 413, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.