GCD of 105, 716, 423 Calculator

Given Input numbers are 105, 716, 423

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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 105, 716, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 716, 423 is 1.

Therefore, GCD of numbers 105, 716, 423 is 1

Given Input Data is 105, 716, 423

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 716 is 2 x 2 x 179

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(105, 716) = 75180

GCD(105, 716) = ( 105 x 716 ) / 75180

GCD(105, 716) = 75180 / 75180

GCD(105, 716) = 1

Step2:

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 105, 716, 423 is 1

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1. What is the GCD of 105, 716, 423?

GCD of 105, 716, 423 is 1

2. Where do I get the detailed procedure to find GCD of 105, 716, 423?

You can find a detailed procedure to find GCD of 105, 716, 423 on our page.

3. How to find GCD of 105, 716, 423 on a calculator?

You can find the GCD of 105, 716, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.