GCD of 714, 799, 587, 345 Calculator

Given Input numbers are 714, 799, 587, 345

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 714, 799, 587, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 799, 587, 345 is 1.

Therefore, GCD of numbers 714, 799, 587, 345 is 1

Given Input Data is 714, 799, 587, 345

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 799 is 17 x 47

Prime Factorization of 587 is 587

Prime Factorization of 345 is 3 x 5 x 23

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(714, 799) = 33558

GCD(714, 799) = ( 714 x 799 ) / 33558

GCD(714, 799) = 570486 / 33558

GCD(714, 799) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 587

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

LCM(17, 587) = 9979

GCD(17, 587) = ( 17 x 587 ) / 9979

GCD(17, 587) = 9979 / 9979

GCD(17, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 714, 799, 587, 345 is 1

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• GCD of 528, 693, 353, 659
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1. What is the GCD of 714, 799, 587, 345?

GCD of 714, 799, 587, 345 is 1

2. Where do I get the detailed procedure to find GCD of 714, 799, 587, 345?

You can find a detailed procedure to find GCD of 714, 799, 587, 345 on our page.

3. How to find GCD of 714, 799, 587, 345 on a calculator?

You can find the GCD of 714, 799, 587, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.