GCD of 706, 338, 434, 807 Calculator

Given Input numbers are 706, 338, 434, 807

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 706, 338, 434, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 338, 434, 807 is 1.

Therefore, GCD of numbers 706, 338, 434, 807 is 1

Given Input Data is 706, 338, 434, 807

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 807 is 3 x 269

The above numbers do not have any common prime factor. So GCD is 1

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, 338) = 119314

GCD(706, 338) = ( 706 x 338 ) / 119314

GCD(706, 338) = 238628 / 119314

GCD(706, 338) = 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 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

GCD of 706, 338, 434, 807 is 1

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1. What is the GCD of 706, 338, 434, 807?

GCD of 706, 338, 434, 807 is 1

2. Where do I get the detailed procedure to find GCD of 706, 338, 434, 807?

You can find a detailed procedure to find GCD of 706, 338, 434, 807 on our page.

3. How to find GCD of 706, 338, 434, 807 on a calculator?

You can find the GCD of 706, 338, 434, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.