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, 420, 608, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 420, 608, 455 is 1
GCD(303, 420, 608, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 420, 608, 455 is 1
GCD(303, 420, 608, 455) = 1
Given Input numbers are 303, 420, 608, 455
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 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 303, 420, 608, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 420, 608, 455 is 1.
Therefore, GCD of numbers 303, 420, 608, 455 is 1
Given Input Data is 303, 420, 608, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 455 is 5 x 7 x 13
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, 420) = 42420
GCD(303, 420) = ( 303 x 420 ) / 42420
GCD(303, 420) = 127260 / 42420
GCD(303, 420) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 608) = 1824
GCD(3, 608) = ( 3 x 608 ) / 1824
GCD(3, 608) = 1824 / 1824
GCD(3, 608) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 455) = 455
GCD(1, 455) = ( 1 x 455 ) / 455
GCD(1, 455) = 455 / 455
GCD(1, 455) = 1
GCD of 303, 420, 608, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 420, 608, 455?
GCD of 303, 420, 608, 455 is 1
2. Where do I get the detailed procedure to find GCD of 303, 420, 608, 455?
You can find a detailed procedure to find GCD of 303, 420, 608, 455 on our page.
3. How to find GCD of 303, 420, 608, 455 on a calculator?
You can find the GCD of 303, 420, 608, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.