GCD of 706, 514, 434, 426 Calculator

Given Input numbers are 706, 514, 434, 426

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 706, 514, 434, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 514, 434, 426 is 2.

Therefore, GCD of numbers 706, 514, 434, 426 is 2

Given Input Data is 706, 514, 434, 426

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 514 is 2 x 257

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 426 is 2 x 3 x 71

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(706, 514) = 181442

GCD(706, 514) = ( 706 x 514 ) / 181442

GCD(706, 514) = 362884 / 181442

GCD(706, 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 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 706, 514, 434, 426 is 2

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• GCD of 499, 730, 821, 323
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• GCD of 209, 536, 173, 441

1. What is the GCD of 706, 514, 434, 426?

GCD of 706, 514, 434, 426 is 2

2. Where do I get the detailed procedure to find GCD of 706, 514, 434, 426?

You can find a detailed procedure to find GCD of 706, 514, 434, 426 on our page.

3. How to find GCD of 706, 514, 434, 426 on a calculator?

You can find the GCD of 706, 514, 434, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.