GCD of 669, 633, 809, 343 Calculator

Given Input numbers are 669, 633, 809, 343

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 669, 633, 809, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 633, 809, 343 is 1.

Therefore, GCD of numbers 669, 633, 809, 343 is 1

Given Input Data is 669, 633, 809, 343

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 633 is 3 x 211

Prime Factorization of 809 is 809

Prime Factorization of 343 is 7 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(669, 633) = 141159

GCD(669, 633) = ( 669 x 633 ) / 141159

GCD(669, 633) = 423477 / 141159

GCD(669, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 809

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

LCM(3, 809) = 2427

GCD(3, 809) = ( 3 x 809 ) / 2427

GCD(3, 809) = 2427 / 2427

GCD(3, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 669, 633, 809, 343 is 1

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1. What is the GCD of 669, 633, 809, 343?

GCD of 669, 633, 809, 343 is 1

2. Where do I get the detailed procedure to find GCD of 669, 633, 809, 343?

You can find a detailed procedure to find GCD of 669, 633, 809, 343 on our page.

3. How to find GCD of 669, 633, 809, 343 on a calculator?

You can find the GCD of 669, 633, 809, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.