GCD of 408, 345, 719, 339 Calculator

Given Input numbers are 408, 345, 719, 339

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 408, 345, 719, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 345, 719, 339 is 1.

Therefore, GCD of numbers 408, 345, 719, 339 is 1

Given Input Data is 408, 345, 719, 339

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 719 is 719

Prime Factorization of 339 is 3 x 113

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(408, 345) = 46920

GCD(408, 345) = ( 408 x 345 ) / 46920

GCD(408, 345) = 140760 / 46920

GCD(408, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 719

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

LCM(3, 719) = 2157

GCD(3, 719) = ( 3 x 719 ) / 2157

GCD(3, 719) = 2157 / 2157

GCD(3, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 408, 345, 719, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 583, 823, 671
• GCD of 690, 246, 647, 937
• GCD of 137, 418, 276, 993
• GCD of 105, 152, 636, 278
• GCD of 258, 988, 990, 896

1. What is the GCD of 408, 345, 719, 339?

GCD of 408, 345, 719, 339 is 1

2. Where do I get the detailed procedure to find GCD of 408, 345, 719, 339?

You can find a detailed procedure to find GCD of 408, 345, 719, 339 on our page.

3. How to find GCD of 408, 345, 719, 339 on a calculator?

You can find the GCD of 408, 345, 719, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.