GCD of 289, 386, 52, 316 Calculator

Given Input numbers are 289, 386, 52, 316

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 289, 386, 52, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 386, 52, 316 is 1.

Therefore, GCD of numbers 289, 386, 52, 316 is 1

Given Input Data is 289, 386, 52, 316

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 386 is 2 x 193

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 316 is 2 x 2 x 79

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, 386) = 111554

GCD(289, 386) = ( 289 x 386 ) / 111554

GCD(289, 386) = 111554 / 111554

GCD(289, 386) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 289, 386, 52, 316 is 1

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1. What is the GCD of 289, 386, 52, 316?

GCD of 289, 386, 52, 316 is 1

2. Where do I get the detailed procedure to find GCD of 289, 386, 52, 316?

You can find a detailed procedure to find GCD of 289, 386, 52, 316 on our page.

3. How to find GCD of 289, 386, 52, 316 on a calculator?

You can find the GCD of 289, 386, 52, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.