GCD of 183, 744, 21, 867 Calculator

Given Input numbers are 183, 744, 21, 867

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 183, 744, 21, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 744, 21, 867 is 3.

Therefore, GCD of numbers 183, 744, 21, 867 is 3

Given Input Data is 183, 744, 21, 867

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 867 is 3 x 17 x 17

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(183, 744) = 45384

GCD(183, 744) = ( 183 x 744 ) / 45384

GCD(183, 744) = 136152 / 45384

GCD(183, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 867

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

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

GCD(3, 867) = 2601 / 867

GCD(3, 867) = 3

GCD of 183, 744, 21, 867 is 3

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1. What is the GCD of 183, 744, 21, 867?

GCD of 183, 744, 21, 867 is 3

2. Where do I get the detailed procedure to find GCD of 183, 744, 21, 867?

You can find a detailed procedure to find GCD of 183, 744, 21, 867 on our page.

3. How to find GCD of 183, 744, 21, 867 on a calculator?

You can find the GCD of 183, 744, 21, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.