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, 405, 52, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 405, 52, 314 is 1
GCD(428, 405, 52, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 405, 52, 314 is 1
GCD(428, 405, 52, 314) = 1
Given Input numbers are 428, 405, 52, 314
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 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 428, 405, 52, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 405, 52, 314 is 1.
Therefore, GCD of numbers 428, 405, 52, 314 is 1
Given Input Data is 428, 405, 52, 314
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 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 314 is 2 x 157
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, 405) = 173340
GCD(428, 405) = ( 428 x 405 ) / 173340
GCD(428, 405) = 173340 / 173340
GCD(428, 405) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 428, 405, 52, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 405, 52, 314?
GCD of 428, 405, 52, 314 is 1
2. Where do I get the detailed procedure to find GCD of 428, 405, 52, 314?
You can find a detailed procedure to find GCD of 428, 405, 52, 314 on our page.
3. How to find GCD of 428, 405, 52, 314 on a calculator?
You can find the GCD of 428, 405, 52, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.