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 394, 202, 43, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 202, 43, 704 is 1
GCD(394, 202, 43, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 202, 43, 704 is 1
GCD(394, 202, 43, 704) = 1
Given Input numbers are 394, 202, 43, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 394, 202, 43, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 202, 43, 704 is 1.
Therefore, GCD of numbers 394, 202, 43, 704 is 1
Given Input Data is 394, 202, 43, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 202 is 2 x 101
Prime Factorization of 43 is 43
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(394, 202) = 39794
GCD(394, 202) = ( 394 x 202 ) / 39794
GCD(394, 202) = 79588 / 39794
GCD(394, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 394, 202, 43, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 202, 43, 704?
GCD of 394, 202, 43, 704 is 1
2. Where do I get the detailed procedure to find GCD of 394, 202, 43, 704?
You can find a detailed procedure to find GCD of 394, 202, 43, 704 on our page.
3. How to find GCD of 394, 202, 43, 704 on a calculator?
You can find the GCD of 394, 202, 43, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.