GCD of 24, 684, 265, 468 Calculator

Given Input numbers are 24, 684, 265, 468

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 24, 684, 265, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 684, 265, 468 is 1.

Therefore, GCD of numbers 24, 684, 265, 468 is 1

Given Input Data is 24, 684, 265, 468

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 265 is 5 x 53

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(24, 684) = 1368

GCD(24, 684) = ( 24 x 684 ) / 1368

GCD(24, 684) = 16416 / 1368

GCD(24, 684) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 265

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

LCM(12, 265) = 3180

GCD(12, 265) = ( 12 x 265 ) / 3180

GCD(12, 265) = 3180 / 3180

GCD(12, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 24, 684, 265, 468 is 1

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1. What is the GCD of 24, 684, 265, 468?

GCD of 24, 684, 265, 468 is 1

2. Where do I get the detailed procedure to find GCD of 24, 684, 265, 468?

You can find a detailed procedure to find GCD of 24, 684, 265, 468 on our page.

3. How to find GCD of 24, 684, 265, 468 on a calculator?

You can find the GCD of 24, 684, 265, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.