GCD of 224, 977, 13, 423 Calculator

Given Input numbers are 224, 977, 13, 423

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 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 224, 977, 13, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 977, 13, 423 is 1.

Therefore, GCD of numbers 224, 977, 13, 423 is 1

Given Input Data is 224, 977, 13, 423

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 977 is 977

Prime Factorization of 13 is 13

Prime Factorization of 423 is 3 x 3 x 47

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, 977) = 218848

GCD(224, 977) = ( 224 x 977 ) / 218848

GCD(224, 977) = 218848 / 218848

GCD(224, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 224, 977, 13, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 940, 73, 357
• GCD of 760, 797, 29, 424
• GCD of 754, 114, 39, 617
• GCD of 703, 582, 26, 209
• GCD of 205, 250, 24, 586

1. What is the GCD of 224, 977, 13, 423?

GCD of 224, 977, 13, 423 is 1

2. Where do I get the detailed procedure to find GCD of 224, 977, 13, 423?

You can find a detailed procedure to find GCD of 224, 977, 13, 423 on our page.

3. How to find GCD of 224, 977, 13, 423 on a calculator?

You can find the GCD of 224, 977, 13, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.