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, 669, 83, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 669, 83, 683 is 1
GCD(303, 669, 83, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 669, 83, 683 is 1
GCD(303, 669, 83, 683) = 1
Given Input numbers are 303, 669, 83, 683
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 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 303, 669, 83, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 669, 83, 683 is 1.
Therefore, GCD of numbers 303, 669, 83, 683 is 1
Given Input Data is 303, 669, 83, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 669 is 3 x 223
Prime Factorization of 83 is 83
Prime Factorization of 683 is 683
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, 669) = 67569
GCD(303, 669) = ( 303 x 669 ) / 67569
GCD(303, 669) = 202707 / 67569
GCD(303, 669) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 83) = 249
GCD(3, 83) = ( 3 x 83 ) / 249
GCD(3, 83) = 249 / 249
GCD(3, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 303, 669, 83, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 669, 83, 683?
GCD of 303, 669, 83, 683 is 1
2. Where do I get the detailed procedure to find GCD of 303, 669, 83, 683?
You can find a detailed procedure to find GCD of 303, 669, 83, 683 on our page.
3. How to find GCD of 303, 669, 83, 683 on a calculator?
You can find the GCD of 303, 669, 83, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.