GCD of 495, 649, 225, 364 Calculator

Given Input numbers are 495, 649, 225, 364

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

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 495, 649, 225, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 649, 225, 364 is 1.

Therefore, GCD of numbers 495, 649, 225, 364 is 1

Given Input Data is 495, 649, 225, 364

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

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

Prime Factorization of 649 is 11 x 59

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(495, 649) = 29205

GCD(495, 649) = ( 495 x 649 ) / 29205

GCD(495, 649) = 321255 / 29205

GCD(495, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 225

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

LCM(11, 225) = 2475

GCD(11, 225) = ( 11 x 225 ) / 2475

GCD(11, 225) = 2475 / 2475

GCD(11, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 495, 649, 225, 364 is 1

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1. What is the GCD of 495, 649, 225, 364?

GCD of 495, 649, 225, 364 is 1

2. Where do I get the detailed procedure to find GCD of 495, 649, 225, 364?

You can find a detailed procedure to find GCD of 495, 649, 225, 364 on our page.

3. How to find GCD of 495, 649, 225, 364 on a calculator?

You can find the GCD of 495, 649, 225, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.