GCD of 399, 224, 827, 551 Calculator

Given Input numbers are 399, 224, 827, 551

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 399, 224, 827, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 224, 827, 551 is 1.

Therefore, GCD of numbers 399, 224, 827, 551 is 1

Given Input Data is 399, 224, 827, 551

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 827 is 827

Prime Factorization of 551 is 19 x 29

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(399, 224) = 12768

GCD(399, 224) = ( 399 x 224 ) / 12768

GCD(399, 224) = 89376 / 12768

GCD(399, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 827

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

LCM(7, 827) = 5789

GCD(7, 827) = ( 7 x 827 ) / 5789

GCD(7, 827) = 5789 / 5789

GCD(7, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 551

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

LCM(1, 551) = 551

GCD(1, 551) = ( 1 x 551 ) / 551

GCD(1, 551) = 551 / 551

GCD(1, 551) = 1

GCD of 399, 224, 827, 551 is 1

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1. What is the GCD of 399, 224, 827, 551?

GCD of 399, 224, 827, 551 is 1

2. Where do I get the detailed procedure to find GCD of 399, 224, 827, 551?

You can find a detailed procedure to find GCD of 399, 224, 827, 551 on our page.

3. How to find GCD of 399, 224, 827, 551 on a calculator?

You can find the GCD of 399, 224, 827, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.