GCD of 697, 442, 84, 293 Calculator

Given Input numbers are 697, 442, 84, 293

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 697, 442, 84, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 442, 84, 293 is 1.

Therefore, GCD of numbers 697, 442, 84, 293 is 1

Given Input Data is 697, 442, 84, 293

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 293 is 293

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(697, 442) = 18122

GCD(697, 442) = ( 697 x 442 ) / 18122

GCD(697, 442) = 308074 / 18122

GCD(697, 442) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 84

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

LCM(17, 84) = 1428

GCD(17, 84) = ( 17 x 84 ) / 1428

GCD(17, 84) = 1428 / 1428

GCD(17, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 697, 442, 84, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 687, 90, 508
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• GCD of 592, 198, 31, 168

1. What is the GCD of 697, 442, 84, 293?

GCD of 697, 442, 84, 293 is 1

2. Where do I get the detailed procedure to find GCD of 697, 442, 84, 293?

You can find a detailed procedure to find GCD of 697, 442, 84, 293 on our page.

3. How to find GCD of 697, 442, 84, 293 on a calculator?

You can find the GCD of 697, 442, 84, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.