GCD of 624, 390, 96, 207 Calculator

Given Input numbers are 624, 390, 96, 207

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 624, 390, 96, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 390, 96, 207 is 3.

Therefore, GCD of numbers 624, 390, 96, 207 is 3

Given Input Data is 624, 390, 96, 207

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 390 is 2 x 3 x 5 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 207 is 3 x 3 x 23

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, 390) = 3120

GCD(624, 390) = ( 624 x 390 ) / 3120

GCD(624, 390) = 243360 / 3120

GCD(624, 390) = 78

Step2:

Here we consider the GCD from the above i.e. 78 as first number and the next as 96

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

LCM(78, 96) = 1248

GCD(78, 96) = ( 78 x 96 ) / 1248

GCD(78, 96) = 7488 / 1248

GCD(78, 96) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 207

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

LCM(6, 207) = 414

GCD(6, 207) = ( 6 x 207 ) / 414

GCD(6, 207) = 1242 / 414

GCD(6, 207) = 3

GCD of 624, 390, 96, 207 is 3

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1. What is the GCD of 624, 390, 96, 207?

GCD of 624, 390, 96, 207 is 3

2. Where do I get the detailed procedure to find GCD of 624, 390, 96, 207?

You can find a detailed procedure to find GCD of 624, 390, 96, 207 on our page.

3. How to find GCD of 624, 390, 96, 207 on a calculator?

You can find the GCD of 624, 390, 96, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.