GCD of 399, 171, 208, 688 Calculator

Given Input numbers are 399, 171, 208, 688

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 399, 171, 208, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 171, 208, 688 is 1.

Therefore, GCD of numbers 399, 171, 208, 688 is 1

Given Input Data is 399, 171, 208, 688

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 171 is 3 x 3 x 19

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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, 171) = 1197

GCD(399, 171) = ( 399 x 171 ) / 1197

GCD(399, 171) = 68229 / 1197

GCD(399, 171) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 208

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

LCM(57, 208) = 11856

GCD(57, 208) = ( 57 x 208 ) / 11856

GCD(57, 208) = 11856 / 11856

GCD(57, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 399, 171, 208, 688 is 1

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1. What is the GCD of 399, 171, 208, 688?

GCD of 399, 171, 208, 688 is 1

2. Where do I get the detailed procedure to find GCD of 399, 171, 208, 688?

You can find a detailed procedure to find GCD of 399, 171, 208, 688 on our page.

3. How to find GCD of 399, 171, 208, 688 on a calculator?

You can find the GCD of 399, 171, 208, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.