GCD of 434, 745, 14, 806 Calculator

Given Input numbers are 434, 745, 14, 806

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 434, 745, 14, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 745, 14, 806 is 1.

Therefore, GCD of numbers 434, 745, 14, 806 is 1

Given Input Data is 434, 745, 14, 806

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 745 is 5 x 149

Prime Factorization of 14 is 2 x 7

Prime Factorization of 806 is 2 x 13 x 31

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(434, 745) = 323330

GCD(434, 745) = ( 434 x 745 ) / 323330

GCD(434, 745) = 323330 / 323330

GCD(434, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 434, 745, 14, 806 is 1

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1. What is the GCD of 434, 745, 14, 806?

GCD of 434, 745, 14, 806 is 1

2. Where do I get the detailed procedure to find GCD of 434, 745, 14, 806?

You can find a detailed procedure to find GCD of 434, 745, 14, 806 on our page.

3. How to find GCD of 434, 745, 14, 806 on a calculator?

You can find the GCD of 434, 745, 14, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.