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 872, 510, 30, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 510, 30, 363 is 1
GCD(872, 510, 30, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 510, 30, 363 is 1
GCD(872, 510, 30, 363) = 1
Given Input numbers are 872, 510, 30, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 872, 510, 30, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 510, 30, 363 is 1.
Therefore, GCD of numbers 872, 510, 30, 363 is 1
Given Input Data is 872, 510, 30, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 363 is 3 x 11 x 11
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(872, 510) = 222360
GCD(872, 510) = ( 872 x 510 ) / 222360
GCD(872, 510) = 444720 / 222360
GCD(872, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
GCD(2, 363) = 726 / 726
GCD(2, 363) = 1
GCD of 872, 510, 30, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 510, 30, 363?
GCD of 872, 510, 30, 363 is 1
2. Where do I get the detailed procedure to find GCD of 872, 510, 30, 363?
You can find a detailed procedure to find GCD of 872, 510, 30, 363 on our page.
3. How to find GCD of 872, 510, 30, 363 on a calculator?
You can find the GCD of 872, 510, 30, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.