GCD of 999, 471, 872 Calculator

Given Input numbers are 999, 471, 872

In the factoring method, we have to find the divisors of all numbers

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (999, 471, 872) = 1.

Given numbers are 999, 471, 872

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 471 are 3 x 157

Prime factors of 872 are 2 x 2 x 2 x 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 999, 471, 872

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(999, 471) = 156843

GCD(999, 471) = ( 999 x 471 ) / 156843

= 999 / 471

= 999

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

So, Greatest Common Divisor of 999, 471, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 834, 859
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Given numbers are 999, 471, 872
The greatest common divisor of numbers 999, 471, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 471, 872 is 1.

1. What is the GCD of 999, 471, 872?

GCD of given numbers 999, 471, 872 is 1

2. How to calculate the greatest common divisor of 999, 471, 872?

We can find the highest common divisor of 999, 471, 872 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 999, 471, 872 i.e 1.

3. How can I use the GCD of 999, 471, 872Calculator?

Out the numbers 999, 471, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.