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 365, 146, 484, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 146, 484, 253 is 1
GCD(365, 146, 484, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 146, 484, 253 is 1
GCD(365, 146, 484, 253) = 1
Given Input numbers are 365, 146, 484, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 365, 146, 484, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 146, 484, 253 is 1.
Therefore, GCD of numbers 365, 146, 484, 253 is 1
Given Input Data is 365, 146, 484, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 146 is 2 x 73
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 253 is 11 x 23
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(365, 146) = 730
GCD(365, 146) = ( 365 x 146 ) / 730
GCD(365, 146) = 53290 / 730
GCD(365, 146) = 73
Step2:
Here we consider the GCD from the above i.e. 73 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(73, 484) = 35332
GCD(73, 484) = ( 73 x 484 ) / 35332
GCD(73, 484) = 35332 / 35332
GCD(73, 484) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 365, 146, 484, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 146, 484, 253?
GCD of 365, 146, 484, 253 is 1
2. Where do I get the detailed procedure to find GCD of 365, 146, 484, 253?
You can find a detailed procedure to find GCD of 365, 146, 484, 253 on our page.
3. How to find GCD of 365, 146, 484, 253 on a calculator?
You can find the GCD of 365, 146, 484, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.