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 582, 690, 798 i.e. 6 largest integer that divides all the numbers equally.
GCD of 582, 690, 798 is 6
GCD(582, 690, 798) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 690, 798 is 6
GCD(582, 690, 798) = 6
Given Input numbers are 582, 690, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 582, 690, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 690, 798 is 6.
Therefore, GCD of numbers 582, 690, 798 is 6
Given Input Data is 582, 690, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 798 is 2 x 3 x 7 x 19
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(582, 690) = 66930
GCD(582, 690) = ( 582 x 690 ) / 66930
GCD(582, 690) = 401580 / 66930
GCD(582, 690) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 798) = 798
GCD(6, 798) = ( 6 x 798 ) / 798
GCD(6, 798) = 4788 / 798
GCD(6, 798) = 6
GCD of 582, 690, 798 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 690, 798?
GCD of 582, 690, 798 is 6
2. Where do I get the detailed procedure to find GCD of 582, 690, 798?
You can find a detailed procedure to find GCD of 582, 690, 798 on our page.
3. How to find GCD of 582, 690, 798 on a calculator?
You can find the GCD of 582, 690, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.