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 359, 300, 255, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 300, 255, 631 is 1
GCD(359, 300, 255, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 300, 255, 631 is 1
GCD(359, 300, 255, 631) = 1
Given Input numbers are 359, 300, 255, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 359, 300, 255, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 300, 255, 631 is 1.
Therefore, GCD of numbers 359, 300, 255, 631 is 1
Given Input Data is 359, 300, 255, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 631 is 631
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(359, 300) = 107700
GCD(359, 300) = ( 359 x 300 ) / 107700
GCD(359, 300) = 107700 / 107700
GCD(359, 300) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 359, 300, 255, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 300, 255, 631?
GCD of 359, 300, 255, 631 is 1
2. Where do I get the detailed procedure to find GCD of 359, 300, 255, 631?
You can find a detailed procedure to find GCD of 359, 300, 255, 631 on our page.
3. How to find GCD of 359, 300, 255, 631 on a calculator?
You can find the GCD of 359, 300, 255, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.