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 260, 500, 633, 818 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 500, 633, 818 is 1
GCD(260, 500, 633, 818) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 500, 633, 818 is 1
GCD(260, 500, 633, 818) = 1
Given Input numbers are 260, 500, 633, 818
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Greatest Common Divisior
We found the divisors of 260, 500, 633, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 500, 633, 818 is 1.
Therefore, GCD of numbers 260, 500, 633, 818 is 1
Given Input Data is 260, 500, 633, 818
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 633 is 3 x 211
Prime Factorization of 818 is 2 x 409
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(260, 500) = 6500
GCD(260, 500) = ( 260 x 500 ) / 6500
GCD(260, 500) = 130000 / 6500
GCD(260, 500) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 633) = 12660
GCD(20, 633) = ( 20 x 633 ) / 12660
GCD(20, 633) = 12660 / 12660
GCD(20, 633) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 818) = 818
GCD(1, 818) = ( 1 x 818 ) / 818
GCD(1, 818) = 818 / 818
GCD(1, 818) = 1
GCD of 260, 500, 633, 818 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 500, 633, 818?
GCD of 260, 500, 633, 818 is 1
2. Where do I get the detailed procedure to find GCD of 260, 500, 633, 818?
You can find a detailed procedure to find GCD of 260, 500, 633, 818 on our page.
3. How to find GCD of 260, 500, 633, 818 on a calculator?
You can find the GCD of 260, 500, 633, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.