GCD of 444, 668, 128, 674 Calculator

Given Input numbers are 444, 668, 128, 674

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

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 444, 668, 128, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 668, 128, 674 is 2.

Therefore, GCD of numbers 444, 668, 128, 674 is 2

Given Input Data is 444, 668, 128, 674

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

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 674 is 2 x 337

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(444, 668) = 74148

GCD(444, 668) = ( 444 x 668 ) / 74148

GCD(444, 668) = 296592 / 74148

GCD(444, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 674

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

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

GCD(4, 674) = 2696 / 1348

GCD(4, 674) = 2

GCD of 444, 668, 128, 674 is 2

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1. What is the GCD of 444, 668, 128, 674?

GCD of 444, 668, 128, 674 is 2

2. Where do I get the detailed procedure to find GCD of 444, 668, 128, 674?

You can find a detailed procedure to find GCD of 444, 668, 128, 674 on our page.

3. How to find GCD of 444, 668, 128, 674 on a calculator?

You can find the GCD of 444, 668, 128, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.