GCD of 891, 846, 63, 321 Calculator

Given Input numbers are 891, 846, 63, 321

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 891, 846, 63, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 846, 63, 321 is 3.

Therefore, GCD of numbers 891, 846, 63, 321 is 3

Given Input Data is 891, 846, 63, 321

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 321 is 3 x 107

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(891, 846) = 83754

GCD(891, 846) = ( 891 x 846 ) / 83754

GCD(891, 846) = 753786 / 83754

GCD(891, 846) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 63

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

LCM(9, 63) = 63

GCD(9, 63) = ( 9 x 63 ) / 63

GCD(9, 63) = 567 / 63

GCD(9, 63) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 321

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

LCM(9, 321) = 963

GCD(9, 321) = ( 9 x 321 ) / 963

GCD(9, 321) = 2889 / 963

GCD(9, 321) = 3

GCD of 891, 846, 63, 321 is 3

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1. What is the GCD of 891, 846, 63, 321?

GCD of 891, 846, 63, 321 is 3

2. Where do I get the detailed procedure to find GCD of 891, 846, 63, 321?

You can find a detailed procedure to find GCD of 891, 846, 63, 321 on our page.

3. How to find GCD of 891, 846, 63, 321 on a calculator?

You can find the GCD of 891, 846, 63, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.