GCD of 289, 556, 710, 320 Calculator

Given Input numbers are 289, 556, 710, 320

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

Divisors of 289

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

1, 17, 289

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 289, 556, 710, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 556, 710, 320 is 1.

Therefore, GCD of numbers 289, 556, 710, 320 is 1

Given Input Data is 289, 556, 710, 320

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(289, 556) = 160684

GCD(289, 556) = ( 289 x 556 ) / 160684

GCD(289, 556) = 160684 / 160684

GCD(289, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 289, 556, 710, 320 is 1

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1. What is the GCD of 289, 556, 710, 320?

GCD of 289, 556, 710, 320 is 1

2. Where do I get the detailed procedure to find GCD of 289, 556, 710, 320?

You can find a detailed procedure to find GCD of 289, 556, 710, 320 on our page.

3. How to find GCD of 289, 556, 710, 320 on a calculator?

You can find the GCD of 289, 556, 710, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.