GCD of 344, 280, 111, 999 Calculator

Given Input numbers are 344, 280, 111, 999

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 344, 280, 111, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 280, 111, 999 is 1.

Therefore, GCD of numbers 344, 280, 111, 999 is 1

Given Input Data is 344, 280, 111, 999

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 111 is 3 x 37

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(344, 280) = 12040

GCD(344, 280) = ( 344 x 280 ) / 12040

GCD(344, 280) = 96320 / 12040

GCD(344, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 111

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

LCM(8, 111) = 888

GCD(8, 111) = ( 8 x 111 ) / 888

GCD(8, 111) = 888 / 888

GCD(8, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 344, 280, 111, 999 is 1

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• GCD of 688, 388, 254, 226
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1. What is the GCD of 344, 280, 111, 999?

GCD of 344, 280, 111, 999 is 1

2. Where do I get the detailed procedure to find GCD of 344, 280, 111, 999?

You can find a detailed procedure to find GCD of 344, 280, 111, 999 on our page.

3. How to find GCD of 344, 280, 111, 999 on a calculator?

You can find the GCD of 344, 280, 111, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.