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 71, 344, 406, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 344, 406, 683 is 1
GCD(71, 344, 406, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 344, 406, 683 is 1
GCD(71, 344, 406, 683) = 1
Given Input numbers are 71, 344, 406, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 71, 344, 406, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 344, 406, 683 is 1.
Therefore, GCD of numbers 71, 344, 406, 683 is 1
Given Input Data is 71, 344, 406, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 683 is 683
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(71, 344) = 24424
GCD(71, 344) = ( 71 x 344 ) / 24424
GCD(71, 344) = 24424 / 24424
GCD(71, 344) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 71, 344, 406, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 344, 406, 683?
GCD of 71, 344, 406, 683 is 1
2. Where do I get the detailed procedure to find GCD of 71, 344, 406, 683?
You can find a detailed procedure to find GCD of 71, 344, 406, 683 on our page.
3. How to find GCD of 71, 344, 406, 683 on a calculator?
You can find the GCD of 71, 344, 406, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.