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 290, 256, 480, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 256, 480, 327 is 1
GCD(290, 256, 480, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 256, 480, 327 is 1
GCD(290, 256, 480, 327) = 1
Given Input numbers are 290, 256, 480, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 290, 256, 480, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 256, 480, 327 is 1.
Therefore, GCD of numbers 290, 256, 480, 327 is 1
Given Input Data is 290, 256, 480, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 327 is 3 x 109
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(290, 256) = 37120
GCD(290, 256) = ( 290 x 256 ) / 37120
GCD(290, 256) = 74240 / 37120
GCD(290, 256) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
GCD(2, 480) = 960 / 480
GCD(2, 480) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 327) = 654
GCD(2, 327) = ( 2 x 327 ) / 654
GCD(2, 327) = 654 / 654
GCD(2, 327) = 1
GCD of 290, 256, 480, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 256, 480, 327?
GCD of 290, 256, 480, 327 is 1
2. Where do I get the detailed procedure to find GCD of 290, 256, 480, 327?
You can find a detailed procedure to find GCD of 290, 256, 480, 327 on our page.
3. How to find GCD of 290, 256, 480, 327 on a calculator?
You can find the GCD of 290, 256, 480, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.