GCD of 444, 670, 14, 806 Calculator

Given Input numbers are 444, 670, 14, 806

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 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 444, 670, 14, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 670, 14, 806 is 2.

Therefore, GCD of numbers 444, 670, 14, 806 is 2

Given Input Data is 444, 670, 14, 806

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 670 is 2 x 5 x 67

Prime Factorization of 14 is 2 x 7

Prime Factorization of 806 is 2 x 13 x 31

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, 670) = 148740

GCD(444, 670) = ( 444 x 670 ) / 148740

GCD(444, 670) = 297480 / 148740

GCD(444, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 444, 670, 14, 806 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 170, 57, 282
• GCD of 992, 432, 83, 491
• GCD of 870, 862, 38, 576
• GCD of 848, 443, 25, 661
• GCD of 577, 941, 72, 110

1. What is the GCD of 444, 670, 14, 806?

GCD of 444, 670, 14, 806 is 2

2. Where do I get the detailed procedure to find GCD of 444, 670, 14, 806?

You can find a detailed procedure to find GCD of 444, 670, 14, 806 on our page.

3. How to find GCD of 444, 670, 14, 806 on a calculator?

You can find the GCD of 444, 670, 14, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.