GCD of 174, 368, 31, 247 Calculator

Given Input numbers are 174, 368, 31, 247

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

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

Divisors of 31

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

1, 31

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 174, 368, 31, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 368, 31, 247 is 1.

Therefore, GCD of numbers 174, 368, 31, 247 is 1

Given Input Data is 174, 368, 31, 247

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 31 is 31

Prime Factorization of 247 is 13 x 19

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(174, 368) = 32016

GCD(174, 368) = ( 174 x 368 ) / 32016

GCD(174, 368) = 64032 / 32016

GCD(174, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 174, 368, 31, 247 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 999, 35, 335
• GCD of 939, 103, 76, 421
• GCD of 324, 505, 75, 305
• GCD of 871, 694, 15, 962
• GCD of 135, 123, 47, 438

1. What is the GCD of 174, 368, 31, 247?

GCD of 174, 368, 31, 247 is 1

2. Where do I get the detailed procedure to find GCD of 174, 368, 31, 247?

You can find a detailed procedure to find GCD of 174, 368, 31, 247 on our page.

3. How to find GCD of 174, 368, 31, 247 on a calculator?

You can find the GCD of 174, 368, 31, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.