GCD of 709, 289, 541, 856 Calculator

Given Input numbers are 709, 289, 541, 856

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

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 709, 289, 541, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 289, 541, 856 is 1.

Therefore, GCD of numbers 709, 289, 541, 856 is 1

Given Input Data is 709, 289, 541, 856

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

Prime Factorization of 709 is 709

Prime Factorization of 289 is 17 x 17

Prime Factorization of 541 is 541

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(709, 289) = 204901

GCD(709, 289) = ( 709 x 289 ) / 204901

GCD(709, 289) = 204901 / 204901

GCD(709, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 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 709, 289, 541, 856 is 1

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1. What is the GCD of 709, 289, 541, 856?

GCD of 709, 289, 541, 856 is 1

2. Where do I get the detailed procedure to find GCD of 709, 289, 541, 856?

You can find a detailed procedure to find GCD of 709, 289, 541, 856 on our page.

3. How to find GCD of 709, 289, 541, 856 on a calculator?

You can find the GCD of 709, 289, 541, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.