GCD of 973, 724, 41, 224 Calculator

Given Input numbers are 973, 724, 41, 224

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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

Greatest Common Divisior

We found the divisors of 973, 724, 41, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 724, 41, 224 is 1.

Therefore, GCD of numbers 973, 724, 41, 224 is 1

Given Input Data is 973, 724, 41, 224

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 41 is 41

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(973, 724) = 704452

GCD(973, 724) = ( 973 x 724 ) / 704452

GCD(973, 724) = 704452 / 704452

GCD(973, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 973, 724, 41, 224 is 1

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1. What is the GCD of 973, 724, 41, 224?

GCD of 973, 724, 41, 224 is 1

2. Where do I get the detailed procedure to find GCD of 973, 724, 41, 224?

You can find a detailed procedure to find GCD of 973, 724, 41, 224 on our page.

3. How to find GCD of 973, 724, 41, 224 on a calculator?

You can find the GCD of 973, 724, 41, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.