GCD of 624, 378, 72, 432 Calculator

Given Input numbers are 624, 378, 72, 432

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 624, 378, 72, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 378, 72, 432 is 6.

Therefore, GCD of numbers 624, 378, 72, 432 is 6

Given Input Data is 624, 378, 72, 432

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(624, 378) = 39312

GCD(624, 378) = ( 624 x 378 ) / 39312

GCD(624, 378) = 235872 / 39312

GCD(624, 378) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 432

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

LCM(6, 432) = 432

GCD(6, 432) = ( 6 x 432 ) / 432

GCD(6, 432) = 2592 / 432

GCD(6, 432) = 6

GCD of 624, 378, 72, 432 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 197, 16, 379
• GCD of 359, 463, 58, 817
• GCD of 776, 897, 82, 284
• GCD of 515, 639, 78, 309
• GCD of 435, 412, 19, 901

1. What is the GCD of 624, 378, 72, 432?

GCD of 624, 378, 72, 432 is 6

2. Where do I get the detailed procedure to find GCD of 624, 378, 72, 432?

You can find a detailed procedure to find GCD of 624, 378, 72, 432 on our page.

3. How to find GCD of 624, 378, 72, 432 on a calculator?

You can find the GCD of 624, 378, 72, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.