GCD of 999, 405, 871, 158 Calculator

Given Input numbers are 999, 405, 871, 158

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 999, 405, 871, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 405, 871, 158 is 1.

Therefore, GCD of numbers 999, 405, 871, 158 is 1

Given Input Data is 999, 405, 871, 158

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 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 871 is 13 x 67

Prime Factorization of 158 is 2 x 79

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, 405) = 14985

GCD(999, 405) = ( 999 x 405 ) / 14985

GCD(999, 405) = 404595 / 14985

GCD(999, 405) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 871

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

LCM(27, 871) = 23517

GCD(27, 871) = ( 27 x 871 ) / 23517

GCD(27, 871) = 23517 / 23517

GCD(27, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 999, 405, 871, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 509, 771, 306
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• GCD of 601, 292, 328, 227
• GCD of 740, 759, 738, 187
• GCD of 173, 228, 594, 537

1. What is the GCD of 999, 405, 871, 158?

GCD of 999, 405, 871, 158 is 1

2. Where do I get the detailed procedure to find GCD of 999, 405, 871, 158?

You can find a detailed procedure to find GCD of 999, 405, 871, 158 on our page.

3. How to find GCD of 999, 405, 871, 158 on a calculator?

You can find the GCD of 999, 405, 871, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.