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 743, 404, 485, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 404, 485, 500 is 1
GCD(743, 404, 485, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 404, 485, 500 is 1
GCD(743, 404, 485, 500) = 1
Given Input numbers are 743, 404, 485, 500
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
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
Greatest Common Divisior
We found the divisors of 743, 404, 485, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 404, 485, 500 is 1.
Therefore, GCD of numbers 743, 404, 485, 500 is 1
Given Input Data is 743, 404, 485, 500
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 485 is 5 x 97
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
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(743, 404) = 300172
GCD(743, 404) = ( 743 x 404 ) / 300172
GCD(743, 404) = 300172 / 300172
GCD(743, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 485
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 485) = 485
GCD(1, 485) = ( 1 x 485 ) / 485
GCD(1, 485) = 485 / 485
GCD(1, 485) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 743, 404, 485, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 404, 485, 500?
GCD of 743, 404, 485, 500 is 1
2. Where do I get the detailed procedure to find GCD of 743, 404, 485, 500?
You can find a detailed procedure to find GCD of 743, 404, 485, 500 on our page.
3. How to find GCD of 743, 404, 485, 500 on a calculator?
You can find the GCD of 743, 404, 485, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.