GCD of 504, 279, 30, 357 Calculator

Given Input numbers are 504, 279, 30, 357

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 504, 279, 30, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 279, 30, 357 is 3.

Therefore, GCD of numbers 504, 279, 30, 357 is 3

Given Input Data is 504, 279, 30, 357

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 357 is 3 x 7 x 17

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(504, 279) = 15624

GCD(504, 279) = ( 504 x 279 ) / 15624

GCD(504, 279) = 140616 / 15624

GCD(504, 279) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 30

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

LCM(9, 30) = 90

GCD(9, 30) = ( 9 x 30 ) / 90

GCD(9, 30) = 270 / 90

GCD(9, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 357

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

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

GCD(3, 357) = 1071 / 357

GCD(3, 357) = 3

GCD of 504, 279, 30, 357 is 3

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• GCD of 632, 631, 37, 619
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1. What is the GCD of 504, 279, 30, 357?

GCD of 504, 279, 30, 357 is 3

2. Where do I get the detailed procedure to find GCD of 504, 279, 30, 357?

You can find a detailed procedure to find GCD of 504, 279, 30, 357 on our page.

3. How to find GCD of 504, 279, 30, 357 on a calculator?

You can find the GCD of 504, 279, 30, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.