GCD of 174, 307, 99, 944 Calculator

Given Input numbers are 174, 307, 99, 944

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 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 174, 307, 99, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 307, 99, 944 is 1.

Therefore, GCD of numbers 174, 307, 99, 944 is 1

Given Input Data is 174, 307, 99, 944

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 307 is 307

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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, 307) = 53418

GCD(174, 307) = ( 174 x 307 ) / 53418

GCD(174, 307) = 53418 / 53418

GCD(174, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 174, 307, 99, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 168, 57, 882
• GCD of 521, 198, 68, 714
• GCD of 247, 423, 79, 143
• GCD of 742, 860, 94, 335
• GCD of 488, 805, 33, 984

1. What is the GCD of 174, 307, 99, 944?

GCD of 174, 307, 99, 944 is 1

2. Where do I get the detailed procedure to find GCD of 174, 307, 99, 944?

You can find a detailed procedure to find GCD of 174, 307, 99, 944 on our page.

3. How to find GCD of 174, 307, 99, 944 on a calculator?

You can find the GCD of 174, 307, 99, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.