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 314, 185, 784, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 185, 784, 353 is 1
GCD(314, 185, 784, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 185, 784, 353 is 1
GCD(314, 185, 784, 353) = 1
Given Input numbers are 314, 185, 784, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 314, 185, 784, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 185, 784, 353 is 1.
Therefore, GCD of numbers 314, 185, 784, 353 is 1
Given Input Data is 314, 185, 784, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 185 is 5 x 37
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 353 is 353
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(314, 185) = 58090
GCD(314, 185) = ( 314 x 185 ) / 58090
GCD(314, 185) = 58090 / 58090
GCD(314, 185) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 314, 185, 784, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 185, 784, 353?
GCD of 314, 185, 784, 353 is 1
2. Where do I get the detailed procedure to find GCD of 314, 185, 784, 353?
You can find a detailed procedure to find GCD of 314, 185, 784, 353 on our page.
3. How to find GCD of 314, 185, 784, 353 on a calculator?
You can find the GCD of 314, 185, 784, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.