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 445, 689, 82, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 689, 82, 798 is 1
GCD(445, 689, 82, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 689, 82, 798 is 1
GCD(445, 689, 82, 798) = 1
Given Input numbers are 445, 689, 82, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 445, 689, 82, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 689, 82, 798 is 1.
Therefore, GCD of numbers 445, 689, 82, 798 is 1
Given Input Data is 445, 689, 82, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 689 is 13 x 53
Prime Factorization of 82 is 2 x 41
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(445, 689) = 306605
GCD(445, 689) = ( 445 x 689 ) / 306605
GCD(445, 689) = 306605 / 306605
GCD(445, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 445, 689, 82, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 689, 82, 798?
GCD of 445, 689, 82, 798 is 1
2. Where do I get the detailed procedure to find GCD of 445, 689, 82, 798?
You can find a detailed procedure to find GCD of 445, 689, 82, 798 on our page.
3. How to find GCD of 445, 689, 82, 798 on a calculator?
You can find the GCD of 445, 689, 82, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.