GCD of 336, 898, 736, 109 Calculator

Given Input numbers are 336, 898, 736, 109

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 336, 898, 736, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 898, 736, 109 is 1.

Therefore, GCD of numbers 336, 898, 736, 109 is 1

Given Input Data is 336, 898, 736, 109

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 898 is 2 x 449

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 109 is 109

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(336, 898) = 150864

GCD(336, 898) = ( 336 x 898 ) / 150864

GCD(336, 898) = 301728 / 150864

GCD(336, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 336, 898, 736, 109 is 1

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1. What is the GCD of 336, 898, 736, 109?

GCD of 336, 898, 736, 109 is 1

2. Where do I get the detailed procedure to find GCD of 336, 898, 736, 109?

You can find a detailed procedure to find GCD of 336, 898, 736, 109 on our page.

3. How to find GCD of 336, 898, 736, 109 on a calculator?

You can find the GCD of 336, 898, 736, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.