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 428, 995, 409, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 995, 409, 304 is 1
GCD(428, 995, 409, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 995, 409, 304 is 1
GCD(428, 995, 409, 304) = 1
Given Input numbers are 428, 995, 409, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 428, 995, 409, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 995, 409, 304 is 1.
Therefore, GCD of numbers 428, 995, 409, 304 is 1
Given Input Data is 428, 995, 409, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 995 is 5 x 199
Prime Factorization of 409 is 409
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(428, 995) = 425860
GCD(428, 995) = ( 428 x 995 ) / 425860
GCD(428, 995) = 425860 / 425860
GCD(428, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 428, 995, 409, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 995, 409, 304?
GCD of 428, 995, 409, 304 is 1
2. Where do I get the detailed procedure to find GCD of 428, 995, 409, 304?
You can find a detailed procedure to find GCD of 428, 995, 409, 304 on our page.
3. How to find GCD of 428, 995, 409, 304 on a calculator?
You can find the GCD of 428, 995, 409, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.