GCD of 123, 894, 966, 267 Calculator

Given Input numbers are 123, 894, 966, 267

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 123, 894, 966, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 894, 966, 267 is 3.

Therefore, GCD of numbers 123, 894, 966, 267 is 3

Given Input Data is 123, 894, 966, 267

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 267 is 3 x 89

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(123, 894) = 36654

GCD(123, 894) = ( 123 x 894 ) / 36654

GCD(123, 894) = 109962 / 36654

GCD(123, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

GCD of 123, 894, 966, 267 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 610, 891, 812
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• GCD of 893, 268, 371, 557
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• GCD of 269, 254, 349, 253

1. What is the GCD of 123, 894, 966, 267?

GCD of 123, 894, 966, 267 is 3

2. Where do I get the detailed procedure to find GCD of 123, 894, 966, 267?

You can find a detailed procedure to find GCD of 123, 894, 966, 267 on our page.

3. How to find GCD of 123, 894, 966, 267 on a calculator?

You can find the GCD of 123, 894, 966, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.