GCD of 507, 447, 585, 114 Calculator

Given Input numbers are 507, 447, 585, 114

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 507, 447, 585, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 447, 585, 114 is 3.

Therefore, GCD of numbers 507, 447, 585, 114 is 3

Given Input Data is 507, 447, 585, 114

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 447 is 3 x 149

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 114 is 2 x 3 x 19

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(507, 447) = 75543

GCD(507, 447) = ( 507 x 447 ) / 75543

GCD(507, 447) = 226629 / 75543

GCD(507, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

GCD of 507, 447, 585, 114 is 3

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1. What is the GCD of 507, 447, 585, 114?

GCD of 507, 447, 585, 114 is 3

2. Where do I get the detailed procedure to find GCD of 507, 447, 585, 114?

You can find a detailed procedure to find GCD of 507, 447, 585, 114 on our page.

3. How to find GCD of 507, 447, 585, 114 on a calculator?

You can find the GCD of 507, 447, 585, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.