GCD of 262, 693, 299, 423 Calculator

Given Input numbers are 262, 693, 299, 423

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 262, 693, 299, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 693, 299, 423 is 1.

Therefore, GCD of numbers 262, 693, 299, 423 is 1

Given Input Data is 262, 693, 299, 423

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 299 is 13 x 23

Prime Factorization of 423 is 3 x 3 x 47

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(262, 693) = 181566

GCD(262, 693) = ( 262 x 693 ) / 181566

GCD(262, 693) = 181566 / 181566

GCD(262, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 262, 693, 299, 423 is 1

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1. What is the GCD of 262, 693, 299, 423?

GCD of 262, 693, 299, 423 is 1

2. Where do I get the detailed procedure to find GCD of 262, 693, 299, 423?

You can find a detailed procedure to find GCD of 262, 693, 299, 423 on our page.

3. How to find GCD of 262, 693, 299, 423 on a calculator?

You can find the GCD of 262, 693, 299, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.