GCD of 112, 390, 92, 302 Calculator

Given Input numbers are 112, 390, 92, 302

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 302

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

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 112, 390, 92, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 390, 92, 302 is 2.

Therefore, GCD of numbers 112, 390, 92, 302 is 2

Given Input Data is 112, 390, 92, 302

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 302 is 2 x 151

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(112, 390) = 21840

GCD(112, 390) = ( 112 x 390 ) / 21840

GCD(112, 390) = 43680 / 21840

GCD(112, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 302

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

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

GCD(2, 302) = 604 / 302

GCD(2, 302) = 2

GCD of 112, 390, 92, 302 is 2

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1. What is the GCD of 112, 390, 92, 302?

GCD of 112, 390, 92, 302 is 2

2. Where do I get the detailed procedure to find GCD of 112, 390, 92, 302?

You can find a detailed procedure to find GCD of 112, 390, 92, 302 on our page.

3. How to find GCD of 112, 390, 92, 302 on a calculator?

You can find the GCD of 112, 390, 92, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.