GCD of 509, 946, 294, 225 Calculator

Given Input numbers are 509, 946, 294, 225

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 509, 946, 294, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 946, 294, 225 is 1.

Therefore, GCD of numbers 509, 946, 294, 225 is 1

Given Input Data is 509, 946, 294, 225

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

Prime Factorization of 509 is 509

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(509, 946) = 481514

GCD(509, 946) = ( 509 x 946 ) / 481514

GCD(509, 946) = 481514 / 481514

GCD(509, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 509, 946, 294, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 598, 125, 551
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• GCD of 558, 426, 671, 224

1. What is the GCD of 509, 946, 294, 225?

GCD of 509, 946, 294, 225 is 1

2. Where do I get the detailed procedure to find GCD of 509, 946, 294, 225?

You can find a detailed procedure to find GCD of 509, 946, 294, 225 on our page.

3. How to find GCD of 509, 946, 294, 225 on a calculator?

You can find the GCD of 509, 946, 294, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.