GCD of 891, 831, 108 Calculator

Given Input numbers are 891, 831, 108

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (891, 831, 108) = 3.

Given numbers are 891, 831, 108

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 831 are 3 x 277

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 891, 831, 108 is 3.

Given numbers are 891, 831, 108

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

Apply this formula for all numbers.

Step1:

LCM(891, 831) = 246807

GCD(891, 831) = ( 891 x 831 ) / 246807

= 891 / 831

= 891

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 891, 831, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 177, 989
• GCD of 788, 978, 153
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Given numbers are 891, 831, 108
The greatest common divisor of numbers 891, 831, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 831, 108 is 3.

1. What is the GCD of 891, 831, 108?

GCD of given numbers 891, 831, 108 is 3

2. How to calculate the greatest common divisor of 891, 831, 108?

We can find the highest common divisor of 891, 831, 108 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 891, 831, 108 i.e 3.

3. How can I use the GCD of 891, 831, 108Calculator?

Out the numbers 891, 831, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.