GCD of 118, 304, 334, 697 Calculator

Given Input numbers are 118, 304, 334, 697

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 118, 304, 334, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 304, 334, 697 is 1.

Therefore, GCD of numbers 118, 304, 334, 697 is 1

Given Input Data is 118, 304, 334, 697

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 334 is 2 x 167

Prime Factorization of 697 is 17 x 41

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(118, 304) = 17936

GCD(118, 304) = ( 118 x 304 ) / 17936

GCD(118, 304) = 35872 / 17936

GCD(118, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 118, 304, 334, 697 is 1

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1. What is the GCD of 118, 304, 334, 697?

GCD of 118, 304, 334, 697 is 1

2. Where do I get the detailed procedure to find GCD of 118, 304, 334, 697?

You can find a detailed procedure to find GCD of 118, 304, 334, 697 on our page.

3. How to find GCD of 118, 304, 334, 697 on a calculator?

You can find the GCD of 118, 304, 334, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.