GCD of 924, 423, 465 Calculator

Given Input numbers are 924, 423, 465

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 924, 423, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 423, 465 is 3.

Therefore, GCD of numbers 924, 423, 465 is 3

Given Input Data is 924, 423, 465

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 465 is 3 x 5 x 31

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(924, 423) = 130284

GCD(924, 423) = ( 924 x 423 ) / 130284

GCD(924, 423) = 390852 / 130284

GCD(924, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 465

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

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

GCD(3, 465) = 1395 / 465

GCD(3, 465) = 3

GCD of 924, 423, 465 is 3

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1. What is the GCD of 924, 423, 465?

GCD of 924, 423, 465 is 3

2. Where do I get the detailed procedure to find GCD of 924, 423, 465?

You can find a detailed procedure to find GCD of 924, 423, 465 on our page.

3. How to find GCD of 924, 423, 465 on a calculator?

You can find the GCD of 924, 423, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.