GCD of 434, 707, 646, 831 Calculator

Given Input numbers are 434, 707, 646, 831

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 434, 707, 646, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 707, 646, 831 is 1.

Therefore, GCD of numbers 434, 707, 646, 831 is 1

Given Input Data is 434, 707, 646, 831

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 707 is 7 x 101

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 831 is 3 x 277

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, 707) = 43834

GCD(434, 707) = ( 434 x 707 ) / 43834

GCD(434, 707) = 306838 / 43834

GCD(434, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 646

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

LCM(7, 646) = 4522

GCD(7, 646) = ( 7 x 646 ) / 4522

GCD(7, 646) = 4522 / 4522

GCD(7, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 434, 707, 646, 831 is 1

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1. What is the GCD of 434, 707, 646, 831?

GCD of 434, 707, 646, 831 is 1

2. Where do I get the detailed procedure to find GCD of 434, 707, 646, 831?

You can find a detailed procedure to find GCD of 434, 707, 646, 831 on our page.

3. How to find GCD of 434, 707, 646, 831 on a calculator?

You can find the GCD of 434, 707, 646, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.