GCD of 714, 334, 156, 444 Calculator

Given Input numbers are 714, 334, 156, 444

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

Greatest Common Divisior

We found the divisors of 714, 334, 156, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 334, 156, 444 is 2.

Therefore, GCD of numbers 714, 334, 156, 444 is 2

Given Input Data is 714, 334, 156, 444

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 334 is 2 x 167

Prime Factorization of 156 is 2 x 2 x 3 x 13

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

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(714, 334) = 119238

GCD(714, 334) = ( 714 x 334 ) / 119238

GCD(714, 334) = 238476 / 119238

GCD(714, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 714, 334, 156, 444 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 881, 902, 393
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• GCD of 951, 657, 860, 336

1. What is the GCD of 714, 334, 156, 444?

GCD of 714, 334, 156, 444 is 2

2. Where do I get the detailed procedure to find GCD of 714, 334, 156, 444?

You can find a detailed procedure to find GCD of 714, 334, 156, 444 on our page.

3. How to find GCD of 714, 334, 156, 444 on a calculator?

You can find the GCD of 714, 334, 156, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.