GCD of 414, 171, 31, 294 Calculator

Given Input numbers are 414, 171, 31, 294

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 414, 171, 31, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 171, 31, 294 is 1.

Therefore, GCD of numbers 414, 171, 31, 294 is 1

Given Input Data is 414, 171, 31, 294

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 31 is 31

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(414, 171) = 7866

GCD(414, 171) = ( 414 x 171 ) / 7866

GCD(414, 171) = 70794 / 7866

GCD(414, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 31

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

LCM(9, 31) = 279

GCD(9, 31) = ( 9 x 31 ) / 279

GCD(9, 31) = 279 / 279

GCD(9, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 414, 171, 31, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 132, 28, 424
• GCD of 228, 602, 17, 124
• GCD of 978, 674, 25, 805
• GCD of 346, 174, 84, 626
• GCD of 616, 471, 18, 392

1. What is the GCD of 414, 171, 31, 294?

GCD of 414, 171, 31, 294 is 1

2. Where do I get the detailed procedure to find GCD of 414, 171, 31, 294?

You can find a detailed procedure to find GCD of 414, 171, 31, 294 on our page.

3. How to find GCD of 414, 171, 31, 294 on a calculator?

You can find the GCD of 414, 171, 31, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.