GCD of 781, 224, 96, 318 Calculator

Given Input numbers are 781, 224, 96, 318

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 781, 224, 96, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 224, 96, 318 is 1.

Therefore, GCD of numbers 781, 224, 96, 318 is 1

Given Input Data is 781, 224, 96, 318

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

Prime Factorization of 781 is 11 x 71

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 318 is 2 x 3 x 53

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(781, 224) = 174944

GCD(781, 224) = ( 781 x 224 ) / 174944

GCD(781, 224) = 174944 / 174944

GCD(781, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 781, 224, 96, 318 is 1

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1. What is the GCD of 781, 224, 96, 318?

GCD of 781, 224, 96, 318 is 1

2. Where do I get the detailed procedure to find GCD of 781, 224, 96, 318?

You can find a detailed procedure to find GCD of 781, 224, 96, 318 on our page.

3. How to find GCD of 781, 224, 96, 318 on a calculator?

You can find the GCD of 781, 224, 96, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.