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 15, 800, 523, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 800, 523, 623 is 1
GCD(15, 800, 523, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 800, 523, 623 is 1
GCD(15, 800, 523, 623) = 1
Given Input numbers are 15, 800, 523, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 15, 800, 523, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 800, 523, 623 is 1.
Therefore, GCD of numbers 15, 800, 523, 623 is 1
Given Input Data is 15, 800, 523, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 523 is 523
Prime Factorization of 623 is 7 x 89
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(15, 800) = 2400
GCD(15, 800) = ( 15 x 800 ) / 2400
GCD(15, 800) = 12000 / 2400
GCD(15, 800) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 523) = 2615
GCD(5, 523) = ( 5 x 523 ) / 2615
GCD(5, 523) = 2615 / 2615
GCD(5, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 15, 800, 523, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 800, 523, 623?
GCD of 15, 800, 523, 623 is 1
2. Where do I get the detailed procedure to find GCD of 15, 800, 523, 623?
You can find a detailed procedure to find GCD of 15, 800, 523, 623 on our page.
3. How to find GCD of 15, 800, 523, 623 on a calculator?
You can find the GCD of 15, 800, 523, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.