GCD of 553, 616, 334, 808 Calculator

Given Input numbers are 553, 616, 334, 808

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

Divisors of 553

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

1, 7, 79, 553

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 553, 616, 334, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 616, 334, 808 is 1.

Therefore, GCD of numbers 553, 616, 334, 808 is 1

Given Input Data is 553, 616, 334, 808

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 334 is 2 x 167

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(553, 616) = 48664

GCD(553, 616) = ( 553 x 616 ) / 48664

GCD(553, 616) = 340648 / 48664

GCD(553, 616) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 334

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

LCM(7, 334) = 2338

GCD(7, 334) = ( 7 x 334 ) / 2338

GCD(7, 334) = 2338 / 2338

GCD(7, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 553, 616, 334, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 159, 112, 987
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• GCD of 155, 788, 899, 829

1. What is the GCD of 553, 616, 334, 808?

GCD of 553, 616, 334, 808 is 1

2. Where do I get the detailed procedure to find GCD of 553, 616, 334, 808?

You can find a detailed procedure to find GCD of 553, 616, 334, 808 on our page.

3. How to find GCD of 553, 616, 334, 808 on a calculator?

You can find the GCD of 553, 616, 334, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.