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 255, 590, 96, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 590, 96, 104 is 1
GCD(255, 590, 96, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 590, 96, 104 is 1
GCD(255, 590, 96, 104) = 1
Given Input numbers are 255, 590, 96, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 255, 590, 96, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 590, 96, 104 is 1.
Therefore, GCD of numbers 255, 590, 96, 104 is 1
Given Input Data is 255, 590, 96, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(255, 590) = 30090
GCD(255, 590) = ( 255 x 590 ) / 30090
GCD(255, 590) = 150450 / 30090
GCD(255, 590) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 96) = 480
GCD(5, 96) = ( 5 x 96 ) / 480
GCD(5, 96) = 480 / 480
GCD(5, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 255, 590, 96, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 590, 96, 104?
GCD of 255, 590, 96, 104 is 1
2. Where do I get the detailed procedure to find GCD of 255, 590, 96, 104?
You can find a detailed procedure to find GCD of 255, 590, 96, 104 on our page.
3. How to find GCD of 255, 590, 96, 104 on a calculator?
You can find the GCD of 255, 590, 96, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.