GCD of 791, 314, 33, 289 Calculator

Given Input numbers are 791, 314, 33, 289

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 791, 314, 33, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 314, 33, 289 is 1.

Therefore, GCD of numbers 791, 314, 33, 289 is 1

Given Input Data is 791, 314, 33, 289

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 314 is 2 x 157

Prime Factorization of 33 is 3 x 11

Prime Factorization of 289 is 17 x 17

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(791, 314) = 248374

GCD(791, 314) = ( 791 x 314 ) / 248374

GCD(791, 314) = 248374 / 248374

GCD(791, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 791, 314, 33, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 501, 52, 315
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• GCD of 563, 591, 57, 824

1. What is the GCD of 791, 314, 33, 289?

GCD of 791, 314, 33, 289 is 1

2. Where do I get the detailed procedure to find GCD of 791, 314, 33, 289?

You can find a detailed procedure to find GCD of 791, 314, 33, 289 on our page.

3. How to find GCD of 791, 314, 33, 289 on a calculator?

You can find the GCD of 791, 314, 33, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.