GCD of 727, 714, 68, 355 Calculator

Given Input numbers are 727, 714, 68, 355

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 727, 714, 68, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 714, 68, 355 is 1.

Therefore, GCD of numbers 727, 714, 68, 355 is 1

Given Input Data is 727, 714, 68, 355

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

Prime Factorization of 727 is 727

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 355 is 5 x 71

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(727, 714) = 519078

GCD(727, 714) = ( 727 x 714 ) / 519078

GCD(727, 714) = 519078 / 519078

GCD(727, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 727, 714, 68, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 463, 43, 187
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• GCD of 231, 582, 22, 141
• GCD of 518, 225, 10, 366
• GCD of 955, 554, 96, 713

1. What is the GCD of 727, 714, 68, 355?

GCD of 727, 714, 68, 355 is 1

2. Where do I get the detailed procedure to find GCD of 727, 714, 68, 355?

You can find a detailed procedure to find GCD of 727, 714, 68, 355 on our page.

3. How to find GCD of 727, 714, 68, 355 on a calculator?

You can find the GCD of 727, 714, 68, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.