GCD of 666, 148, 44, 704 Calculator

Given Input numbers are 666, 148, 44, 704

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 666, 148, 44, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 148, 44, 704 is 2.

Therefore, GCD of numbers 666, 148, 44, 704 is 2

Given Input Data is 666, 148, 44, 704

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

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(666, 148) = 1332

GCD(666, 148) = ( 666 x 148 ) / 1332

GCD(666, 148) = 98568 / 1332

GCD(666, 148) = 74

Step2:

Here we consider the GCD from the above i.e. 74 as first number and the next as 44

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

LCM(74, 44) = 1628

GCD(74, 44) = ( 74 x 44 ) / 1628

GCD(74, 44) = 3256 / 1628

GCD(74, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 666, 148, 44, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 293, 67, 776
• GCD of 524, 110, 46, 576
• GCD of 544, 562, 44, 307
• GCD of 313, 201, 42, 829
• GCD of 422, 160, 84, 592

1. What is the GCD of 666, 148, 44, 704?

GCD of 666, 148, 44, 704 is 2

2. Where do I get the detailed procedure to find GCD of 666, 148, 44, 704?

You can find a detailed procedure to find GCD of 666, 148, 44, 704 on our page.

3. How to find GCD of 666, 148, 44, 704 on a calculator?

You can find the GCD of 666, 148, 44, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.