GCD of 356, 514, 434, 856 Calculator

Given Input numbers are 356, 514, 434, 856

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 356, 514, 434, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 514, 434, 856 is 2.

Therefore, GCD of numbers 356, 514, 434, 856 is 2

Given Input Data is 356, 514, 434, 856

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 514 is 2 x 257

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(356, 514) = 91492

GCD(356, 514) = ( 356 x 514 ) / 91492

GCD(356, 514) = 182984 / 91492

GCD(356, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 356, 514, 434, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 603, 101, 722
• GCD of 776, 652, 463, 318
• GCD of 734, 723, 929, 587
• GCD of 729, 401, 613, 986
• GCD of 578, 104, 367, 164

1. What is the GCD of 356, 514, 434, 856?

GCD of 356, 514, 434, 856 is 2

2. Where do I get the detailed procedure to find GCD of 356, 514, 434, 856?

You can find a detailed procedure to find GCD of 356, 514, 434, 856 on our page.

3. How to find GCD of 356, 514, 434, 856 on a calculator?

You can find the GCD of 356, 514, 434, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.