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, 348, 159, 660 i.e. 3 largest integer that divides all the numbers equally.
GCD of 582, 348, 159, 660 is 3
GCD(582, 348, 159, 660) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 348, 159, 660 is 3
GCD(582, 348, 159, 660) = 3
Given Input numbers are 582, 348, 159, 660
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 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 582, 348, 159, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 348, 159, 660 is 3.
Therefore, GCD of numbers 582, 348, 159, 660 is 3
Given Input Data is 582, 348, 159, 660
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 348 is 2 x 2 x 3 x 29
Prime Factorization of 159 is 3 x 53
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 348) = 33756
GCD(582, 348) = ( 582 x 348 ) / 33756
GCD(582, 348) = 202536 / 33756
GCD(582, 348) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 159) = 318
GCD(6, 159) = ( 6 x 159 ) / 318
GCD(6, 159) = 954 / 318
GCD(6, 159) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
GCD(3, 660) = 1980 / 660
GCD(3, 660) = 3
GCD of 582, 348, 159, 660 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 348, 159, 660?
GCD of 582, 348, 159, 660 is 3
2. Where do I get the detailed procedure to find GCD of 582, 348, 159, 660?
You can find a detailed procedure to find GCD of 582, 348, 159, 660 on our page.
3. How to find GCD of 582, 348, 159, 660 on a calculator?
You can find the GCD of 582, 348, 159, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.