GCD of 585, 336, 714, 339 Calculator

Given Input numbers are 585, 336, 714, 339

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 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 585, 336, 714, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 336, 714, 339 is 3.

Therefore, GCD of numbers 585, 336, 714, 339 is 3

Given Input Data is 585, 336, 714, 339

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 339 is 3 x 113

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(585, 336) = 65520

GCD(585, 336) = ( 585 x 336 ) / 65520

GCD(585, 336) = 196560 / 65520

GCD(585, 336) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 339

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

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

GCD(3, 339) = 1017 / 339

GCD(3, 339) = 3

GCD of 585, 336, 714, 339 is 3

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1. What is the GCD of 585, 336, 714, 339?

GCD of 585, 336, 714, 339 is 3

2. Where do I get the detailed procedure to find GCD of 585, 336, 714, 339?

You can find a detailed procedure to find GCD of 585, 336, 714, 339 on our page.

3. How to find GCD of 585, 336, 714, 339 on a calculator?

You can find the GCD of 585, 336, 714, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.