GCD of 24, 654, 408, 315 Calculator

Given Input numbers are 24, 654, 408, 315

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 24, 654, 408, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 654, 408, 315 is 3.

Therefore, GCD of numbers 24, 654, 408, 315 is 3

Given Input Data is 24, 654, 408, 315

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 654 is 2 x 3 x 109

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(24, 654) = 2616

GCD(24, 654) = ( 24 x 654 ) / 2616

GCD(24, 654) = 15696 / 2616

GCD(24, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 408

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

LCM(6, 408) = 408

GCD(6, 408) = ( 6 x 408 ) / 408

GCD(6, 408) = 2448 / 408

GCD(6, 408) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 315

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

LCM(6, 315) = 630

GCD(6, 315) = ( 6 x 315 ) / 630

GCD(6, 315) = 1890 / 630

GCD(6, 315) = 3

GCD of 24, 654, 408, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 288, 316, 124
• GCD of 38, 330, 143, 451
• GCD of 83, 412, 115, 785
• GCD of 97, 868, 671, 662
• GCD of 47, 249, 427, 276

1. What is the GCD of 24, 654, 408, 315?

GCD of 24, 654, 408, 315 is 3

2. Where do I get the detailed procedure to find GCD of 24, 654, 408, 315?

You can find a detailed procedure to find GCD of 24, 654, 408, 315 on our page.

3. How to find GCD of 24, 654, 408, 315 on a calculator?

You can find the GCD of 24, 654, 408, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.