GCD of 689, 454, 844, 441 Calculator

Given Input numbers are 689, 454, 844, 441

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 689, 454, 844, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 454, 844, 441 is 1.

Therefore, GCD of numbers 689, 454, 844, 441 is 1

Given Input Data is 689, 454, 844, 441

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 454 is 2 x 227

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(689, 454) = 312806

GCD(689, 454) = ( 689 x 454 ) / 312806

GCD(689, 454) = 312806 / 312806

GCD(689, 454) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 689, 454, 844, 441 is 1

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1. What is the GCD of 689, 454, 844, 441?

GCD of 689, 454, 844, 441 is 1

2. Where do I get the detailed procedure to find GCD of 689, 454, 844, 441?

You can find a detailed procedure to find GCD of 689, 454, 844, 441 on our page.

3. How to find GCD of 689, 454, 844, 441 on a calculator?

You can find the GCD of 689, 454, 844, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.