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 145, 485, 470, 813 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 485, 470, 813 is 1
GCD(145, 485, 470, 813) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 485, 470, 813 is 1
GCD(145, 485, 470, 813) = 1
Given Input numbers are 145, 485, 470, 813
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
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 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Greatest Common Divisior
We found the divisors of 145, 485, 470, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 485, 470, 813 is 1.
Therefore, GCD of numbers 145, 485, 470, 813 is 1
Given Input Data is 145, 485, 470, 813
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 485 is 5 x 97
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 813 is 3 x 271
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(145, 485) = 14065
GCD(145, 485) = ( 145 x 485 ) / 14065
GCD(145, 485) = 70325 / 14065
GCD(145, 485) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 470) = 470
GCD(5, 470) = ( 5 x 470 ) / 470
GCD(5, 470) = 2350 / 470
GCD(5, 470) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 813) = 4065
GCD(5, 813) = ( 5 x 813 ) / 4065
GCD(5, 813) = 4065 / 4065
GCD(5, 813) = 1
GCD of 145, 485, 470, 813 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 485, 470, 813?
GCD of 145, 485, 470, 813 is 1
2. Where do I get the detailed procedure to find GCD of 145, 485, 470, 813?
You can find a detailed procedure to find GCD of 145, 485, 470, 813 on our page.
3. How to find GCD of 145, 485, 470, 813 on a calculator?
You can find the GCD of 145, 485, 470, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.