GCD of 224, 243, 981, 667 Calculator

Given Input numbers are 224, 243, 981, 667

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 224, 243, 981, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 243, 981, 667 is 1.

Therefore, GCD of numbers 224, 243, 981, 667 is 1

Given Input Data is 224, 243, 981, 667

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 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 667 is 23 x 29

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, 243) = 54432

GCD(224, 243) = ( 224 x 243 ) / 54432

GCD(224, 243) = 54432 / 54432

GCD(224, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 224, 243, 981, 667 is 1

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1. What is the GCD of 224, 243, 981, 667?

GCD of 224, 243, 981, 667 is 1

2. Where do I get the detailed procedure to find GCD of 224, 243, 981, 667?

You can find a detailed procedure to find GCD of 224, 243, 981, 667 on our page.

3. How to find GCD of 224, 243, 981, 667 on a calculator?

You can find the GCD of 224, 243, 981, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.