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 304, 482, 829, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 482, 829, 705 is 1
GCD(304, 482, 829, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 482, 829, 705 is 1
GCD(304, 482, 829, 705) = 1
Given Input numbers are 304, 482, 829, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 304, 482, 829, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 482, 829, 705 is 1.
Therefore, GCD of numbers 304, 482, 829, 705 is 1
Given Input Data is 304, 482, 829, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 482 is 2 x 241
Prime Factorization of 829 is 829
Prime Factorization of 705 is 3 x 5 x 47
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(304, 482) = 73264
GCD(304, 482) = ( 304 x 482 ) / 73264
GCD(304, 482) = 146528 / 73264
GCD(304, 482) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 829) = 1658
GCD(2, 829) = ( 2 x 829 ) / 1658
GCD(2, 829) = 1658 / 1658
GCD(2, 829) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 304, 482, 829, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 482, 829, 705?
GCD of 304, 482, 829, 705 is 1
2. Where do I get the detailed procedure to find GCD of 304, 482, 829, 705?
You can find a detailed procedure to find GCD of 304, 482, 829, 705 on our page.
3. How to find GCD of 304, 482, 829, 705 on a calculator?
You can find the GCD of 304, 482, 829, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.