GCD of 504, 279, 74, 207 Calculator

Given Input numbers are 504, 279, 74, 207

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 504, 279, 74, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 279, 74, 207 is 1.

Therefore, GCD of numbers 504, 279, 74, 207 is 1

Given Input Data is 504, 279, 74, 207

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 74 is 2 x 37

Prime Factorization of 207 is 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

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 74

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

LCM(9, 74) = 666

GCD(9, 74) = ( 9 x 74 ) / 666

GCD(9, 74) = 666 / 666

GCD(9, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 504, 279, 74, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 244, 34, 474
• GCD of 228, 477, 13, 603
• GCD of 988, 641, 97, 231
• GCD of 258, 555, 88, 783
• GCD of 505, 833, 71, 744

1. What is the GCD of 504, 279, 74, 207?

GCD of 504, 279, 74, 207 is 1

2. Where do I get the detailed procedure to find GCD of 504, 279, 74, 207?

You can find a detailed procedure to find GCD of 504, 279, 74, 207 on our page.

3. How to find GCD of 504, 279, 74, 207 on a calculator?

You can find the GCD of 504, 279, 74, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.