GCD of 397, 800, 553, 669 Calculator

Given Input numbers are 397, 800, 553, 669

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 669

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

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 397, 800, 553, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 800, 553, 669 is 1.

Therefore, GCD of numbers 397, 800, 553, 669 is 1

Given Input Data is 397, 800, 553, 669

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

Prime Factorization of 397 is 397

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 553 is 7 x 79

Prime Factorization of 669 is 3 x 223

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(397, 800) = 317600

GCD(397, 800) = ( 397 x 800 ) / 317600

GCD(397, 800) = 317600 / 317600

GCD(397, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 397, 800, 553, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 275, 687, 224
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• GCD of 891, 898, 665, 499

1. What is the GCD of 397, 800, 553, 669?

GCD of 397, 800, 553, 669 is 1

2. Where do I get the detailed procedure to find GCD of 397, 800, 553, 669?

You can find a detailed procedure to find GCD of 397, 800, 553, 669 on our page.

3. How to find GCD of 397, 800, 553, 669 on a calculator?

You can find the GCD of 397, 800, 553, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.