GCD of 523, 672, 296 Calculator

Given Input numbers are 523, 672, 296

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 523, 672, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 672, 296 is 1.

Therefore, GCD of numbers 523, 672, 296 is 1

Given Input Data is 523, 672, 296

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

Prime Factorization of 523 is 523

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(523, 672) = 351456

GCD(523, 672) = ( 523 x 672 ) / 351456

GCD(523, 672) = 351456 / 351456

GCD(523, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 523, 672, 296 is 1

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1. What is the GCD of 523, 672, 296?

GCD of 523, 672, 296 is 1

2. Where do I get the detailed procedure to find GCD of 523, 672, 296?

You can find a detailed procedure to find GCD of 523, 672, 296 on our page.

3. How to find GCD of 523, 672, 296 on a calculator?

You can find the GCD of 523, 672, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.