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, 103, 168, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 103, 168, 430 is 1
GCD(303, 103, 168, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 103, 168, 430 is 1
GCD(303, 103, 168, 430) = 1
Given Input numbers are 303, 103, 168, 430
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 303, 103, 168, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 103, 168, 430 is 1.
Therefore, GCD of numbers 303, 103, 168, 430 is 1
Given Input Data is 303, 103, 168, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 103 is 103
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 430 is 2 x 5 x 43
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, 103) = 31209
GCD(303, 103) = ( 303 x 103 ) / 31209
GCD(303, 103) = 31209 / 31209
GCD(303, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 303, 103, 168, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 103, 168, 430?
GCD of 303, 103, 168, 430 is 1
2. Where do I get the detailed procedure to find GCD of 303, 103, 168, 430?
You can find a detailed procedure to find GCD of 303, 103, 168, 430 on our page.
3. How to find GCD of 303, 103, 168, 430 on a calculator?
You can find the GCD of 303, 103, 168, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.