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 273, 284, 40, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 284, 40, 496 is 1
GCD(273, 284, 40, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 284, 40, 496 is 1
GCD(273, 284, 40, 496) = 1
Given Input numbers are 273, 284, 40, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 273, 284, 40, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 284, 40, 496 is 1.
Therefore, GCD of numbers 273, 284, 40, 496 is 1
Given Input Data is 273, 284, 40, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(273, 284) = 77532
GCD(273, 284) = ( 273 x 284 ) / 77532
GCD(273, 284) = 77532 / 77532
GCD(273, 284) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 273, 284, 40, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 284, 40, 496?
GCD of 273, 284, 40, 496 is 1
2. Where do I get the detailed procedure to find GCD of 273, 284, 40, 496?
You can find a detailed procedure to find GCD of 273, 284, 40, 496 on our page.
3. How to find GCD of 273, 284, 40, 496 on a calculator?
You can find the GCD of 273, 284, 40, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.