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, 764, 441, 882 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 764, 441, 882 is 1
GCD(582, 764, 441, 882) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 764, 441, 882 is 1
GCD(582, 764, 441, 882) = 1
Given Input numbers are 582, 764, 441, 882
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 582, 764, 441, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 764, 441, 882 is 1.
Therefore, GCD of numbers 582, 764, 441, 882 is 1
Given Input Data is 582, 764, 441, 882
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 764 is 2 x 2 x 191
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
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(582, 764) = 222324
GCD(582, 764) = ( 582 x 764 ) / 222324
GCD(582, 764) = 444648 / 222324
GCD(582, 764) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
GCD(2, 441) = 882 / 882
GCD(2, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
GCD of 582, 764, 441, 882 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 764, 441, 882?
GCD of 582, 764, 441, 882 is 1
2. Where do I get the detailed procedure to find GCD of 582, 764, 441, 882?
You can find a detailed procedure to find GCD of 582, 764, 441, 882 on our page.
3. How to find GCD of 582, 764, 441, 882 on a calculator?
You can find the GCD of 582, 764, 441, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.