GCD of 258, 966, 825 Calculator

Given Input numbers are 258, 966, 825

To find the GCD of numbers using factoring list out all the divisors of each number

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 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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 258, 966, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 966, 825 is 3.

Therefore, GCD of numbers 258, 966, 825 is 3

Given Input Data is 258, 966, 825

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 825 is 3 x 5 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(258, 966) = 41538

GCD(258, 966) = ( 258 x 966 ) / 41538

GCD(258, 966) = 249228 / 41538

GCD(258, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 825

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 825) = 1650

GCD(6, 825) = ( 6 x 825 ) / 1650

GCD(6, 825) = 4950 / 1650

GCD(6, 825) = 3

GCD of 258, 966, 825 is 3

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1. What is the GCD of 258, 966, 825?

GCD of 258, 966, 825 is 3

2. Where do I get the detailed procedure to find GCD of 258, 966, 825?

You can find a detailed procedure to find GCD of 258, 966, 825 on our page.

3. How to find GCD of 258, 966, 825 on a calculator?

You can find the GCD of 258, 966, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.