GCD of 719, 699, 39, 348 Calculator

Given Input numbers are 719, 699, 39, 348

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

Divisors of 719

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

1, 719

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 719, 699, 39, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 699, 39, 348 is 1.

Therefore, GCD of numbers 719, 699, 39, 348 is 1

Given Input Data is 719, 699, 39, 348

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

Prime Factorization of 719 is 719

Prime Factorization of 699 is 3 x 233

Prime Factorization of 39 is 3 x 13

Prime Factorization of 348 is 2 x 2 x 3 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(719, 699) = 502581

GCD(719, 699) = ( 719 x 699 ) / 502581

GCD(719, 699) = 502581 / 502581

GCD(719, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 719, 699, 39, 348 is 1

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1. What is the GCD of 719, 699, 39, 348?

GCD of 719, 699, 39, 348 is 1

2. Where do I get the detailed procedure to find GCD of 719, 699, 39, 348?

You can find a detailed procedure to find GCD of 719, 699, 39, 348 on our page.

3. How to find GCD of 719, 699, 39, 348 on a calculator?

You can find the GCD of 719, 699, 39, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.