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, 958, 15, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 958, 15, 245 is 1
GCD(255, 958, 15, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 958, 15, 245 is 1
GCD(255, 958, 15, 245) = 1
Given Input numbers are 255, 958, 15, 245
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 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 255, 958, 15, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 958, 15, 245 is 1.
Therefore, GCD of numbers 255, 958, 15, 245 is 1
Given Input Data is 255, 958, 15, 245
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 958 is 2 x 479
Prime Factorization of 15 is 3 x 5
Prime Factorization of 245 is 5 x 7 x 7
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, 958) = 244290
GCD(255, 958) = ( 255 x 958 ) / 244290
GCD(255, 958) = 244290 / 244290
GCD(255, 958) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 255, 958, 15, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 958, 15, 245?
GCD of 255, 958, 15, 245 is 1
2. Where do I get the detailed procedure to find GCD of 255, 958, 15, 245?
You can find a detailed procedure to find GCD of 255, 958, 15, 245 on our page.
3. How to find GCD of 255, 958, 15, 245 on a calculator?
You can find the GCD of 255, 958, 15, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.