GCD of 674, 444, 666, 854 Calculator

Given Input numbers are 674, 444, 666, 854

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 674, 444, 666, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 444, 666, 854 is 2.

Therefore, GCD of numbers 674, 444, 666, 854 is 2

Given Input Data is 674, 444, 666, 854

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 444 is 2 x 2 x 3 x 37

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

Prime Factorization of 854 is 2 x 7 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(674, 444) = 149628

GCD(674, 444) = ( 674 x 444 ) / 149628

GCD(674, 444) = 299256 / 149628

GCD(674, 444) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 666

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

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

GCD(2, 666) = 1332 / 666

GCD(2, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 674, 444, 666, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 267, 889, 961
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• GCD of 737, 262, 555, 999

1. What is the GCD of 674, 444, 666, 854?

GCD of 674, 444, 666, 854 is 2

2. Where do I get the detailed procedure to find GCD of 674, 444, 666, 854?

You can find a detailed procedure to find GCD of 674, 444, 666, 854 on our page.

3. How to find GCD of 674, 444, 666, 854 on a calculator?

You can find the GCD of 674, 444, 666, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.