GCD of 706, 338, 851, 933 Calculator

Given Input numbers are 706, 338, 851, 933

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 706, 338, 851, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 338, 851, 933 is 1.

Therefore, GCD of numbers 706, 338, 851, 933 is 1

Given Input Data is 706, 338, 851, 933

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 851 is 23 x 37

Prime Factorization of 933 is 3 x 311

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 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 933

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

LCM(1, 933) = 933

GCD(1, 933) = ( 1 x 933 ) / 933

GCD(1, 933) = 933 / 933

GCD(1, 933) = 1

GCD of 706, 338, 851, 933 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 142, 239, 691
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• GCD of 354, 558, 342, 339

1. What is the GCD of 706, 338, 851, 933?

GCD of 706, 338, 851, 933 is 1

2. Where do I get the detailed procedure to find GCD of 706, 338, 851, 933?

You can find a detailed procedure to find GCD of 706, 338, 851, 933 on our page.

3. How to find GCD of 706, 338, 851, 933 on a calculator?

You can find the GCD of 706, 338, 851, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.