GCD of 624, 285, 675 Calculator

Given Input numbers are 624, 285, 675

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 624, 285, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 285, 675 is 3.

Therefore, GCD of numbers 624, 285, 675 is 3

Given Input Data is 624, 285, 675

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 285 is 3 x 5 x 19

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(624, 285) = 59280

GCD(624, 285) = ( 624 x 285 ) / 59280

GCD(624, 285) = 177840 / 59280

GCD(624, 285) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 675

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

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

GCD(3, 675) = 2025 / 675

GCD(3, 675) = 3

GCD of 624, 285, 675 is 3

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• GCD of 567, 665, 197
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1. What is the GCD of 624, 285, 675?

GCD of 624, 285, 675 is 3

2. Where do I get the detailed procedure to find GCD of 624, 285, 675?

You can find a detailed procedure to find GCD of 624, 285, 675 on our page.

3. How to find GCD of 624, 285, 675 on a calculator?

You can find the GCD of 624, 285, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.