GCD of 302, 718, 996, 174 Calculator

Given Input numbers are 302, 718, 996, 174

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 302, 718, 996, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 718, 996, 174 is 2.

Therefore, GCD of numbers 302, 718, 996, 174 is 2

Given Input Data is 302, 718, 996, 174

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 718 is 2 x 359

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 174 is 2 x 3 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(302, 718) = 108418

GCD(302, 718) = ( 302 x 718 ) / 108418

GCD(302, 718) = 216836 / 108418

GCD(302, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 302, 718, 996, 174 is 2

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1. What is the GCD of 302, 718, 996, 174?

GCD of 302, 718, 996, 174 is 2

2. Where do I get the detailed procedure to find GCD of 302, 718, 996, 174?

You can find a detailed procedure to find GCD of 302, 718, 996, 174 on our page.

3. How to find GCD of 302, 718, 996, 174 on a calculator?

You can find the GCD of 302, 718, 996, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.