GCD of 399, 688, 145, 349 Calculator

Given Input numbers are 399, 688, 145, 349

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 688

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

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 399, 688, 145, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 688, 145, 349 is 1.

Therefore, GCD of numbers 399, 688, 145, 349 is 1

Given Input Data is 399, 688, 145, 349

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 145 is 5 x 29

Prime Factorization of 349 is 349

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, 688) = 274512

GCD(399, 688) = ( 399 x 688 ) / 274512

GCD(399, 688) = 274512 / 274512

GCD(399, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 399, 688, 145, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 231, 383, 765
• GCD of 304, 334, 691, 193
• GCD of 149, 131, 718, 852
• GCD of 407, 643, 538, 343
• GCD of 478, 577, 146, 649

1. What is the GCD of 399, 688, 145, 349?

GCD of 399, 688, 145, 349 is 1

2. Where do I get the detailed procedure to find GCD of 399, 688, 145, 349?

You can find a detailed procedure to find GCD of 399, 688, 145, 349 on our page.

3. How to find GCD of 399, 688, 145, 349 on a calculator?

You can find the GCD of 399, 688, 145, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.