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 303, 471, 353, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 471, 353, 687 is 1
GCD(303, 471, 353, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 471, 353, 687 is 1
GCD(303, 471, 353, 687) = 1
Given Input numbers are 303, 471, 353, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 303, 471, 353, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 471, 353, 687 is 1.
Therefore, GCD of numbers 303, 471, 353, 687 is 1
Given Input Data is 303, 471, 353, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 471 is 3 x 157
Prime Factorization of 353 is 353
Prime Factorization of 687 is 3 x 229
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(303, 471) = 47571
GCD(303, 471) = ( 303 x 471 ) / 47571
GCD(303, 471) = 142713 / 47571
GCD(303, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 353) = 1059
GCD(3, 353) = ( 3 x 353 ) / 1059
GCD(3, 353) = 1059 / 1059
GCD(3, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 303, 471, 353, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 471, 353, 687?
GCD of 303, 471, 353, 687 is 1
2. Where do I get the detailed procedure to find GCD of 303, 471, 353, 687?
You can find a detailed procedure to find GCD of 303, 471, 353, 687 on our page.
3. How to find GCD of 303, 471, 353, 687 on a calculator?
You can find the GCD of 303, 471, 353, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.