GCD of 247, 225, 109 Calculator

Given Input numbers are 247, 225, 109

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

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 247, 225, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 247, 225, 109 is 1.

Therefore, GCD of numbers 247, 225, 109 is 1

Given Input Data is 247, 225, 109

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

Prime Factorization of 247 is 13 x 19

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

Prime Factorization of 109 is 109

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(247, 225) = 55575

GCD(247, 225) = ( 247 x 225 ) / 55575

GCD(247, 225) = 55575 / 55575

GCD(247, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 247, 225, 109 is 1

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1. What is the GCD of 247, 225, 109?

GCD of 247, 225, 109 is 1

2. Where do I get the detailed procedure to find GCD of 247, 225, 109?

You can find a detailed procedure to find GCD of 247, 225, 109 on our page.

3. How to find GCD of 247, 225, 109 on a calculator?

You can find the GCD of 247, 225, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.