GCD of 891, 723, 132, 936 Calculator

Given Input numbers are 891, 723, 132, 936

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 891, 723, 132, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 723, 132, 936 is 3.

Therefore, GCD of numbers 891, 723, 132, 936 is 3

Given Input Data is 891, 723, 132, 936

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 723 is 3 x 241

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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, 723) = 214731

GCD(891, 723) = ( 891 x 723 ) / 214731

GCD(891, 723) = 644193 / 214731

GCD(891, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 132

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

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

GCD(3, 132) = 396 / 132

GCD(3, 132) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 936

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

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

GCD(3, 936) = 2808 / 936

GCD(3, 936) = 3

GCD of 891, 723, 132, 936 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 810, 976, 953
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• GCD of 647, 135, 637, 745
• GCD of 789, 961, 901, 139

1. What is the GCD of 891, 723, 132, 936?

GCD of 891, 723, 132, 936 is 3

2. Where do I get the detailed procedure to find GCD of 891, 723, 132, 936?

You can find a detailed procedure to find GCD of 891, 723, 132, 936 on our page.

3. How to find GCD of 891, 723, 132, 936 on a calculator?

You can find the GCD of 891, 723, 132, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.