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 284, 343, 394, 593 i.e. 1 largest integer that divides all the numbers equally.
GCD of 284, 343, 394, 593 is 1
GCD(284, 343, 394, 593) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 284, 343, 394, 593 is 1
GCD(284, 343, 394, 593) = 1
Given Input numbers are 284, 343, 394, 593
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Greatest Common Divisior
We found the divisors of 284, 343, 394, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 343, 394, 593 is 1.
Therefore, GCD of numbers 284, 343, 394, 593 is 1
Given Input Data is 284, 343, 394, 593
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 394 is 2 x 197
Prime Factorization of 593 is 593
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(284, 343) = 97412
GCD(284, 343) = ( 284 x 343 ) / 97412
GCD(284, 343) = 97412 / 97412
GCD(284, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 593
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 593) = 593
GCD(1, 593) = ( 1 x 593 ) / 593
GCD(1, 593) = 593 / 593
GCD(1, 593) = 1
GCD of 284, 343, 394, 593 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 284, 343, 394, 593?
GCD of 284, 343, 394, 593 is 1
2. Where do I get the detailed procedure to find GCD of 284, 343, 394, 593?
You can find a detailed procedure to find GCD of 284, 343, 394, 593 on our page.
3. How to find GCD of 284, 343, 394, 593 on a calculator?
You can find the GCD of 284, 343, 394, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.