GCD of 176, 145, 23, 984 Calculator

Given Input numbers are 176, 145, 23, 984

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 23

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

1, 23

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 176, 145, 23, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 145, 23, 984 is 1.

Therefore, GCD of numbers 176, 145, 23, 984 is 1

Given Input Data is 176, 145, 23, 984

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 145 is 5 x 29

Prime Factorization of 23 is 23

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(176, 145) = 25520

GCD(176, 145) = ( 176 x 145 ) / 25520

GCD(176, 145) = 25520 / 25520

GCD(176, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 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 176, 145, 23, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 913, 50, 633
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• GCD of 871, 540, 33, 316
• GCD of 861, 234, 41, 835

1. What is the GCD of 176, 145, 23, 984?

GCD of 176, 145, 23, 984 is 1

2. Where do I get the detailed procedure to find GCD of 176, 145, 23, 984?

You can find a detailed procedure to find GCD of 176, 145, 23, 984 on our page.

3. How to find GCD of 176, 145, 23, 984 on a calculator?

You can find the GCD of 176, 145, 23, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.