GCD of 224, 136, 78, 447 Calculator

Given Input numbers are 224, 136, 78, 447

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

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 224, 136, 78, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 136, 78, 447 is 1.

Therefore, GCD of numbers 224, 136, 78, 447 is 1

Given Input Data is 224, 136, 78, 447

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

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 447 is 3 x 149

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(224, 136) = 3808

GCD(224, 136) = ( 224 x 136 ) / 3808

GCD(224, 136) = 30464 / 3808

GCD(224, 136) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 78

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

LCM(8, 78) = 312

GCD(8, 78) = ( 8 x 78 ) / 312

GCD(8, 78) = 624 / 312

GCD(8, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 447

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

LCM(2, 447) = 894

GCD(2, 447) = ( 2 x 447 ) / 894

GCD(2, 447) = 894 / 894

GCD(2, 447) = 1

GCD of 224, 136, 78, 447 is 1

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• GCD of 650, 996, 61, 262
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1. What is the GCD of 224, 136, 78, 447?

GCD of 224, 136, 78, 447 is 1

2. Where do I get the detailed procedure to find GCD of 224, 136, 78, 447?

You can find a detailed procedure to find GCD of 224, 136, 78, 447 on our page.

3. How to find GCD of 224, 136, 78, 447 on a calculator?

You can find the GCD of 224, 136, 78, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.