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 834, 471, 335, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 471, 335, 704 is 1
GCD(834, 471, 335, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 471, 335, 704 is 1
GCD(834, 471, 335, 704) = 1
Given Input numbers are 834, 471, 335, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
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 834, 471, 335, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 471, 335, 704 is 1.
Therefore, GCD of numbers 834, 471, 335, 704 is 1
Given Input Data is 834, 471, 335, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 471 is 3 x 157
Prime Factorization of 335 is 5 x 67
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(834, 471) = 130938
GCD(834, 471) = ( 834 x 471 ) / 130938
GCD(834, 471) = 392814 / 130938
GCD(834, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 335) = 1005
GCD(3, 335) = ( 3 x 335 ) / 1005
GCD(3, 335) = 1005 / 1005
GCD(3, 335) = 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 834, 471, 335, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 471, 335, 704?
GCD of 834, 471, 335, 704 is 1
2. Where do I get the detailed procedure to find GCD of 834, 471, 335, 704?
You can find a detailed procedure to find GCD of 834, 471, 335, 704 on our page.
3. How to find GCD of 834, 471, 335, 704 on a calculator?
You can find the GCD of 834, 471, 335, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.