GCD of 345, 353, 462, 884 Calculator

Given Input numbers are 345, 353, 462, 884

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 345, 353, 462, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 353, 462, 884 is 1.

Therefore, GCD of numbers 345, 353, 462, 884 is 1

Given Input Data is 345, 353, 462, 884

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 353 is 353

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 884 is 2 x 2 x 13 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(345, 353) = 121785

GCD(345, 353) = ( 345 x 353 ) / 121785

GCD(345, 353) = 121785 / 121785

GCD(345, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 345, 353, 462, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 561, 951, 460
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• GCD of 149, 557, 280, 970

1. What is the GCD of 345, 353, 462, 884?

GCD of 345, 353, 462, 884 is 1

2. Where do I get the detailed procedure to find GCD of 345, 353, 462, 884?

You can find a detailed procedure to find GCD of 345, 353, 462, 884 on our page.

3. How to find GCD of 345, 353, 462, 884 on a calculator?

You can find the GCD of 345, 353, 462, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.