GCD of 867, 903, 42, 666 Calculator

Given Input numbers are 867, 903, 42, 666

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

Divisors of 867

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

1, 3, 17, 51, 289, 867

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 867, 903, 42, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 903, 42, 666 is 3.

Therefore, GCD of numbers 867, 903, 42, 666 is 3

Given Input Data is 867, 903, 42, 666

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(867, 903) = 260967

GCD(867, 903) = ( 867 x 903 ) / 260967

GCD(867, 903) = 782901 / 260967

GCD(867, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

GCD of 867, 903, 42, 666 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 761, 63, 439
• GCD of 677, 662, 66, 165
• GCD of 413, 569, 27, 652
• GCD of 185, 767, 11, 523
• GCD of 142, 346, 32, 703

1. What is the GCD of 867, 903, 42, 666?

GCD of 867, 903, 42, 666 is 3

2. Where do I get the detailed procedure to find GCD of 867, 903, 42, 666?

You can find a detailed procedure to find GCD of 867, 903, 42, 666 on our page.

3. How to find GCD of 867, 903, 42, 666 on a calculator?

You can find the GCD of 867, 903, 42, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.