GCD of 727, 354, 71, 856 Calculator

Given Input numbers are 727, 354, 71, 856

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 727, 354, 71, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 354, 71, 856 is 1.

Therefore, GCD of numbers 727, 354, 71, 856 is 1

Given Input Data is 727, 354, 71, 856

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

Prime Factorization of 727 is 727

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 71 is 71

Prime Factorization of 856 is 2 x 2 x 2 x 107

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, 354) = 257358

GCD(727, 354) = ( 727 x 354 ) / 257358

GCD(727, 354) = 257358 / 257358

GCD(727, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 727, 354, 71, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 226, 11, 318
• GCD of 365, 146, 11, 500
• GCD of 669, 490, 82, 889
• GCD of 508, 205, 40, 833
• GCD of 346, 468, 91, 507

1. What is the GCD of 727, 354, 71, 856?

GCD of 727, 354, 71, 856 is 1

2. Where do I get the detailed procedure to find GCD of 727, 354, 71, 856?

You can find a detailed procedure to find GCD of 727, 354, 71, 856 on our page.

3. How to find GCD of 727, 354, 71, 856 on a calculator?

You can find the GCD of 727, 354, 71, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.