GCD of 684, 898, 347 Calculator

Given Input numbers are 684, 898, 347

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 898

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

1, 2, 449, 898

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 684, 898, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 898, 347 is 1.

Therefore, GCD of numbers 684, 898, 347 is 1

Given Input Data is 684, 898, 347

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 898 is 2 x 449

Prime Factorization of 347 is 347

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(684, 898) = 307116

GCD(684, 898) = ( 684 x 898 ) / 307116

GCD(684, 898) = 614232 / 307116

GCD(684, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

GCD of 684, 898, 347 is 1

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1. What is the GCD of 684, 898, 347?

GCD of 684, 898, 347 is 1

2. Where do I get the detailed procedure to find GCD of 684, 898, 347?

You can find a detailed procedure to find GCD of 684, 898, 347 on our page.

3. How to find GCD of 684, 898, 347 on a calculator?

You can find the GCD of 684, 898, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.