GCD of 654, 224, 16, 245 Calculator

Given Input numbers are 654, 224, 16, 245

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 654, 224, 16, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 224, 16, 245 is 1.

Therefore, GCD of numbers 654, 224, 16, 245 is 1

Given Input Data is 654, 224, 16, 245

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 245 is 5 x 7 x 7

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(654, 224) = 73248

GCD(654, 224) = ( 654 x 224 ) / 73248

GCD(654, 224) = 146496 / 73248

GCD(654, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 245

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

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

GCD(2, 245) = 490 / 490

GCD(2, 245) = 1

GCD of 654, 224, 16, 245 is 1

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1. What is the GCD of 654, 224, 16, 245?

GCD of 654, 224, 16, 245 is 1

2. Where do I get the detailed procedure to find GCD of 654, 224, 16, 245?

You can find a detailed procedure to find GCD of 654, 224, 16, 245 on our page.

3. How to find GCD of 654, 224, 16, 245 on a calculator?

You can find the GCD of 654, 224, 16, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.