GCD of 69, 338, 326, 688 Calculator

Given Input numbers are 69, 338, 326, 688

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 69, 338, 326, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 338, 326, 688 is 1.

Therefore, GCD of numbers 69, 338, 326, 688 is 1

Given Input Data is 69, 338, 326, 688

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 326 is 2 x 163

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(69, 338) = 23322

GCD(69, 338) = ( 69 x 338 ) / 23322

GCD(69, 338) = 23322 / 23322

GCD(69, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 69, 338, 326, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 163, 380, 320
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• GCD of 22, 104, 531, 335
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• GCD of 17, 518, 834, 555

1. What is the GCD of 69, 338, 326, 688?

GCD of 69, 338, 326, 688 is 1

2. Where do I get the detailed procedure to find GCD of 69, 338, 326, 688?

You can find a detailed procedure to find GCD of 69, 338, 326, 688 on our page.

3. How to find GCD of 69, 338, 326, 688 on a calculator?

You can find the GCD of 69, 338, 326, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.