GCD of 289, 182, 768, 310 Calculator

Given Input numbers are 289, 182, 768, 310

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 289, 182, 768, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 182, 768, 310 is 1.

Therefore, GCD of numbers 289, 182, 768, 310 is 1

Given Input Data is 289, 182, 768, 310

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 310 is 2 x 5 x 31

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, 182) = 52598

GCD(289, 182) = ( 289 x 182 ) / 52598

GCD(289, 182) = 52598 / 52598

GCD(289, 182) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 289, 182, 768, 310 is 1

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1. What is the GCD of 289, 182, 768, 310?

GCD of 289, 182, 768, 310 is 1

2. Where do I get the detailed procedure to find GCD of 289, 182, 768, 310?

You can find a detailed procedure to find GCD of 289, 182, 768, 310 on our page.

3. How to find GCD of 289, 182, 768, 310 on a calculator?

You can find the GCD of 289, 182, 768, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.