GCD of 154, 684, 97, 317 Calculator

Given Input numbers are 154, 684, 97, 317

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 154, 684, 97, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 684, 97, 317 is 1.

Therefore, GCD of numbers 154, 684, 97, 317 is 1

Given Input Data is 154, 684, 97, 317

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

Prime Factorization of 154 is 2 x 7 x 11

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

Prime Factorization of 97 is 97

Prime Factorization of 317 is 317

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(154, 684) = 52668

GCD(154, 684) = ( 154 x 684 ) / 52668

GCD(154, 684) = 105336 / 52668

GCD(154, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 154, 684, 97, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 386, 23, 559
• GCD of 359, 720, 22, 111
• GCD of 811, 256, 25, 299
• GCD of 319, 993, 94, 260
• GCD of 672, 674, 23, 826

1. What is the GCD of 154, 684, 97, 317?

GCD of 154, 684, 97, 317 is 1

2. Where do I get the detailed procedure to find GCD of 154, 684, 97, 317?

You can find a detailed procedure to find GCD of 154, 684, 97, 317 on our page.

3. How to find GCD of 154, 684, 97, 317 on a calculator?

You can find the GCD of 154, 684, 97, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.