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, 687, 708, 561 i.e. 3 largest integer that divides all the numbers equally.
GCD of 582, 687, 708, 561 is 3
GCD(582, 687, 708, 561) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 687, 708, 561 is 3
GCD(582, 687, 708, 561) = 3
Given Input numbers are 582, 687, 708, 561
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 582, 687, 708, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 687, 708, 561 is 3.
Therefore, GCD of numbers 582, 687, 708, 561 is 3
Given Input Data is 582, 687, 708, 561
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 687 is 3 x 229
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 561 is 3 x 11 x 17
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, 687) = 133278
GCD(582, 687) = ( 582 x 687 ) / 133278
GCD(582, 687) = 399834 / 133278
GCD(582, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
GCD(3, 708) = 2124 / 708
GCD(3, 708) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 561) = 561
GCD(3, 561) = ( 3 x 561 ) / 561
GCD(3, 561) = 1683 / 561
GCD(3, 561) = 3
GCD of 582, 687, 708, 561 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 687, 708, 561?
GCD of 582, 687, 708, 561 is 3
2. Where do I get the detailed procedure to find GCD of 582, 687, 708, 561?
You can find a detailed procedure to find GCD of 582, 687, 708, 561 on our page.
3. How to find GCD of 582, 687, 708, 561 on a calculator?
You can find the GCD of 582, 687, 708, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.