GCD of 432, 969, 66 Calculator

Given Input numbers are 432, 969, 66

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 432, 969, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 969, 66 is 3.

Therefore, GCD of numbers 432, 969, 66 is 3

Given Input Data is 432, 969, 66

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 66 is 2 x 3 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(432, 969) = 139536

GCD(432, 969) = ( 432 x 969 ) / 139536

GCD(432, 969) = 418608 / 139536

GCD(432, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

GCD of 432, 969, 66 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 129, 19
• GCD of 368, 887, 33
• GCD of 468, 409, 33
• GCD of 642, 311, 34
• GCD of 449, 467, 89

1. What is the GCD of 432, 969, 66?

GCD of 432, 969, 66 is 3

2. Where do I get the detailed procedure to find GCD of 432, 969, 66?

You can find a detailed procedure to find GCD of 432, 969, 66 on our page.

3. How to find GCD of 432, 969, 66 on a calculator?

You can find the GCD of 432, 969, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.