GCD of 23, 174, 314, 984 Calculator

Given Input numbers are 23, 174, 314, 984

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 23, 174, 314, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 174, 314, 984 is 1.

Therefore, GCD of numbers 23, 174, 314, 984 is 1

Given Input Data is 23, 174, 314, 984

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

Prime Factorization of 23 is 23

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 314 is 2 x 157

Prime Factorization of 984 is 2 x 2 x 2 x 3 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(23, 174) = 4002

GCD(23, 174) = ( 23 x 174 ) / 4002

GCD(23, 174) = 4002 / 4002

GCD(23, 174) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 23, 174, 314, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 700, 717, 443
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• GCD of 49, 830, 947, 718

1. What is the GCD of 23, 174, 314, 984?

GCD of 23, 174, 314, 984 is 1

2. Where do I get the detailed procedure to find GCD of 23, 174, 314, 984?

You can find a detailed procedure to find GCD of 23, 174, 314, 984 on our page.

3. How to find GCD of 23, 174, 314, 984 on a calculator?

You can find the GCD of 23, 174, 314, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.