GCD of 463, 495, 225, 694 Calculator

Given Input numbers are 463, 495, 225, 694

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 463, 495, 225, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 495, 225, 694 is 1.

Therefore, GCD of numbers 463, 495, 225, 694 is 1

Given Input Data is 463, 495, 225, 694

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

Prime Factorization of 463 is 463

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Prime Factorization of 694 is 2 x 347

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(463, 495) = 229185

GCD(463, 495) = ( 463 x 495 ) / 229185

GCD(463, 495) = 229185 / 229185

GCD(463, 495) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 463, 495, 225, 694 is 1

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1. What is the GCD of 463, 495, 225, 694?

GCD of 463, 495, 225, 694 is 1

2. Where do I get the detailed procedure to find GCD of 463, 495, 225, 694?

You can find a detailed procedure to find GCD of 463, 495, 225, 694 on our page.

3. How to find GCD of 463, 495, 225, 694 on a calculator?

You can find the GCD of 463, 495, 225, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.