GCD of 348, 717, 59, 699 Calculator

Given Input numbers are 348, 717, 59, 699

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

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 699

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

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 348, 717, 59, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 717, 59, 699 is 1.

Therefore, GCD of numbers 348, 717, 59, 699 is 1

Given Input Data is 348, 717, 59, 699

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 717 is 3 x 239

Prime Factorization of 59 is 59

Prime Factorization of 699 is 3 x 233

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(348, 717) = 83172

GCD(348, 717) = ( 348 x 717 ) / 83172

GCD(348, 717) = 249516 / 83172

GCD(348, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 348, 717, 59, 699 is 1

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1. What is the GCD of 348, 717, 59, 699?

GCD of 348, 717, 59, 699 is 1

2. Where do I get the detailed procedure to find GCD of 348, 717, 59, 699?

You can find a detailed procedure to find GCD of 348, 717, 59, 699 on our page.

3. How to find GCD of 348, 717, 59, 699 on a calculator?

You can find the GCD of 348, 717, 59, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.