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 966, 258, 81, 591 i.e. 3 largest integer that divides all the numbers equally.
GCD of 966, 258, 81, 591 is 3
GCD(966, 258, 81, 591) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 258, 81, 591 is 3
GCD(966, 258, 81, 591) = 3
Given Input numbers are 966, 258, 81, 591
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 966, 258, 81, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 258, 81, 591 is 3.
Therefore, GCD of numbers 966, 258, 81, 591 is 3
Given Input Data is 966, 258, 81, 591
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 591 is 3 x 197
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(966, 258) = 41538
GCD(966, 258) = ( 966 x 258 ) / 41538
GCD(966, 258) = 249228 / 41538
GCD(966, 258) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 81) = 162
GCD(6, 81) = ( 6 x 81 ) / 162
GCD(6, 81) = 486 / 162
GCD(6, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 591) = 591
GCD(3, 591) = ( 3 x 591 ) / 591
GCD(3, 591) = 1773 / 591
GCD(3, 591) = 3
GCD of 966, 258, 81, 591 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 258, 81, 591?
GCD of 966, 258, 81, 591 is 3
2. Where do I get the detailed procedure to find GCD of 966, 258, 81, 591?
You can find a detailed procedure to find GCD of 966, 258, 81, 591 on our page.
3. How to find GCD of 966, 258, 81, 591 on a calculator?
You can find the GCD of 966, 258, 81, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.