GCD of 624, 369, 267, 807 Calculator

Given Input numbers are 624, 369, 267, 807

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 624, 369, 267, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 369, 267, 807 is 3.

Therefore, GCD of numbers 624, 369, 267, 807 is 3

Given Input Data is 624, 369, 267, 807

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 369 is 3 x 3 x 41

Prime Factorization of 267 is 3 x 89

Prime Factorization of 807 is 3 x 269

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, 369) = 76752

GCD(624, 369) = ( 624 x 369 ) / 76752

GCD(624, 369) = 230256 / 76752

GCD(624, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 807

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

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

GCD(3, 807) = 2421 / 807

GCD(3, 807) = 3

GCD of 624, 369, 267, 807 is 3

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1. What is the GCD of 624, 369, 267, 807?

GCD of 624, 369, 267, 807 is 3

2. Where do I get the detailed procedure to find GCD of 624, 369, 267, 807?

You can find a detailed procedure to find GCD of 624, 369, 267, 807 on our page.

3. How to find GCD of 624, 369, 267, 807 on a calculator?

You can find the GCD of 624, 369, 267, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.