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 300, 713, 491, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 713, 491, 855 is 1
GCD(300, 713, 491, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 713, 491, 855 is 1
GCD(300, 713, 491, 855) = 1
Given Input numbers are 300, 713, 491, 855
To find the GCD of numbers using factoring list out all the divisors of each number
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 300, 713, 491, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 713, 491, 855 is 1.
Therefore, GCD of numbers 300, 713, 491, 855 is 1
Given Input Data is 300, 713, 491, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 713 is 23 x 31
Prime Factorization of 491 is 491
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(300, 713) = 213900
GCD(300, 713) = ( 300 x 713 ) / 213900
GCD(300, 713) = 213900 / 213900
GCD(300, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 300, 713, 491, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 713, 491, 855?
GCD of 300, 713, 491, 855 is 1
2. Where do I get the detailed procedure to find GCD of 300, 713, 491, 855?
You can find a detailed procedure to find GCD of 300, 713, 491, 855 on our page.
3. How to find GCD of 300, 713, 491, 855 on a calculator?
You can find the GCD of 300, 713, 491, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.