GCD of 338, 696, 681, 100 Calculator

Given Input numbers are 338, 696, 681, 100

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 338, 696, 681, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 696, 681, 100 is 1.

Therefore, GCD of numbers 338, 696, 681, 100 is 1

Given Input Data is 338, 696, 681, 100

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 681 is 3 x 227

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(338, 696) = 117624

GCD(338, 696) = ( 338 x 696 ) / 117624

GCD(338, 696) = 235248 / 117624

GCD(338, 696) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 338, 696, 681, 100 is 1

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1. What is the GCD of 338, 696, 681, 100?

GCD of 338, 696, 681, 100 is 1

2. Where do I get the detailed procedure to find GCD of 338, 696, 681, 100?

You can find a detailed procedure to find GCD of 338, 696, 681, 100 on our page.

3. How to find GCD of 338, 696, 681, 100 on a calculator?

You can find the GCD of 338, 696, 681, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.