GCD of 999, 346, 340, 688 Calculator

Given Input numbers are 999, 346, 340, 688

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

Divisors of 999

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

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 999, 346, 340, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 346, 340, 688 is 1.

Therefore, GCD of numbers 999, 346, 340, 688 is 1

Given Input Data is 999, 346, 340, 688

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

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(999, 346) = 345654

GCD(999, 346) = ( 999 x 346 ) / 345654

GCD(999, 346) = 345654 / 345654

GCD(999, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 999, 346, 340, 688 is 1

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• GCD of 273, 316, 305, 428
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• GCD of 684, 989, 195, 115

1. What is the GCD of 999, 346, 340, 688?

GCD of 999, 346, 340, 688 is 1

2. Where do I get the detailed procedure to find GCD of 999, 346, 340, 688?

You can find a detailed procedure to find GCD of 999, 346, 340, 688 on our page.

3. How to find GCD of 999, 346, 340, 688 on a calculator?

You can find the GCD of 999, 346, 340, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.