GCD of 714, 728, 741, 594 Calculator

Given Input numbers are 714, 728, 741, 594

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 714, 728, 741, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 728, 741, 594 is 1.

Therefore, GCD of numbers 714, 728, 741, 594 is 1

Given Input Data is 714, 728, 741, 594

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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, 728) = 37128

GCD(714, 728) = ( 714 x 728 ) / 37128

GCD(714, 728) = 519792 / 37128

GCD(714, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 741

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

LCM(14, 741) = 10374

GCD(14, 741) = ( 14 x 741 ) / 10374

GCD(14, 741) = 10374 / 10374

GCD(14, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

GCD of 714, 728, 741, 594 is 1

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1. What is the GCD of 714, 728, 741, 594?

GCD of 714, 728, 741, 594 is 1

2. Where do I get the detailed procedure to find GCD of 714, 728, 741, 594?

You can find a detailed procedure to find GCD of 714, 728, 741, 594 on our page.

3. How to find GCD of 714, 728, 741, 594 on a calculator?

You can find the GCD of 714, 728, 741, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.