GCD of 882, 585, 906, 891 Calculator

Given Input numbers are 882, 585, 906, 891

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 891 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (882, 585, 906, 891) = 3.

Given numbers are 882, 585, 906, 891

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 906 are 2 x 3 x 151

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

The highest common occurrence is 3¹

Therefore, GCD of 882, 585, 906, 891 is 3.

Given numbers are 882, 585, 906, 891

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

Apply this formula for all numbers.

Step1:

LCM(882, 585) = 57330

GCD(882, 585) = ( 882 x 585 ) / 57330

= 882 / 585

= 882

Step2:

LCM(9, 906) = 2718

GCD(9, 906) = ( 9 x 906 ) / 2718

= 9 / 906

= 9

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 882, 585, 906, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 299, 551, 475
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Given numbers are 882, 585, 906, 891
The greatest common divisor of numbers 882, 585, 906, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 585, 906, 891 is 3.

1. What is the GCD of 882, 585, 906, 891?

GCD of given numbers 882, 585, 906, 891 is 3

2. How to calculate the greatest common divisor of 882, 585, 906, 891?

We can find the highest common divisor of 882, 585, 906, 891 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 882, 585, 906, 891 i.e 3.

3. How can I use the GCD of 882, 585, 906, 891Calculator?

Out the numbers 882, 585, 906, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.