GCD of 888, 343, 353, 996 Calculator

Given Input numbers are 888, 343, 353, 996

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 353

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

1, 353

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 888, 343, 353, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 343, 353, 996 is 1.

Therefore, GCD of numbers 888, 343, 353, 996 is 1

Given Input Data is 888, 343, 353, 996

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 353 is 353

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(888, 343) = 304584

GCD(888, 343) = ( 888 x 343 ) / 304584

GCD(888, 343) = 304584 / 304584

GCD(888, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 888, 343, 353, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 207, 644, 355
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• GCD of 616, 198, 101, 846
• GCD of 496, 674, 894, 610

1. What is the GCD of 888, 343, 353, 996?

GCD of 888, 343, 353, 996 is 1

2. Where do I get the detailed procedure to find GCD of 888, 343, 353, 996?

You can find a detailed procedure to find GCD of 888, 343, 353, 996 on our page.

3. How to find GCD of 888, 343, 353, 996 on a calculator?

You can find the GCD of 888, 343, 353, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.