GCD of 672, 544, 24, 424 Calculator

Given Input numbers are 672, 544, 24, 424

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 672, 544, 24, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 544, 24, 424 is 8.

Therefore, GCD of numbers 672, 544, 24, 424 is 8

Given Input Data is 672, 544, 24, 424

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(672, 544) = 11424

GCD(672, 544) = ( 672 x 544 ) / 11424

GCD(672, 544) = 365568 / 11424

GCD(672, 544) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 24

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

LCM(32, 24) = 96

GCD(32, 24) = ( 32 x 24 ) / 96

GCD(32, 24) = 768 / 96

GCD(32, 24) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 424

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

LCM(8, 424) = 424

GCD(8, 424) = ( 8 x 424 ) / 424

GCD(8, 424) = 3392 / 424

GCD(8, 424) = 8

GCD of 672, 544, 24, 424 is 8

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1. What is the GCD of 672, 544, 24, 424?

GCD of 672, 544, 24, 424 is 8

2. Where do I get the detailed procedure to find GCD of 672, 544, 24, 424?

You can find a detailed procedure to find GCD of 672, 544, 24, 424 on our page.

3. How to find GCD of 672, 544, 24, 424 on a calculator?

You can find the GCD of 672, 544, 24, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.