GCD of 446, 832, 689 Calculator

Given Input numbers are 446, 832, 689

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 446, 832, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 832, 689 is 1.

Therefore, GCD of numbers 446, 832, 689 is 1

Given Input Data is 446, 832, 689

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 689 is 13 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(446, 832) = 185536

GCD(446, 832) = ( 446 x 832 ) / 185536

GCD(446, 832) = 371072 / 185536

GCD(446, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 446, 832, 689 is 1

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1. What is the GCD of 446, 832, 689?

GCD of 446, 832, 689 is 1

2. Where do I get the detailed procedure to find GCD of 446, 832, 689?

You can find a detailed procedure to find GCD of 446, 832, 689 on our page.

3. How to find GCD of 446, 832, 689 on a calculator?

You can find the GCD of 446, 832, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.