GCD of 614, 791, 810, 289 Calculator

Given Input numbers are 614, 791, 810, 289

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 791

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

1, 7, 113, 791

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 614, 791, 810, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 791, 810, 289 is 1.

Therefore, GCD of numbers 614, 791, 810, 289 is 1

Given Input Data is 614, 791, 810, 289

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 791 is 7 x 113

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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(614, 791) = 485674

GCD(614, 791) = ( 614 x 791 ) / 485674

GCD(614, 791) = 485674 / 485674

GCD(614, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 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 614, 791, 810, 289 is 1

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• GCD of 624, 309, 176, 943
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• GCD of 814, 170, 827, 251

1. What is the GCD of 614, 791, 810, 289?

GCD of 614, 791, 810, 289 is 1

2. Where do I get the detailed procedure to find GCD of 614, 791, 810, 289?

You can find a detailed procedure to find GCD of 614, 791, 810, 289 on our page.

3. How to find GCD of 614, 791, 810, 289 on a calculator?

You can find the GCD of 614, 791, 810, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.