GCD of 115, 342, 12, 160 Calculator

Given Input numbers are 115, 342, 12, 160

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 115, 342, 12, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 342, 12, 160 is 1.

Therefore, GCD of numbers 115, 342, 12, 160 is 1

Given Input Data is 115, 342, 12, 160

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(115, 342) = 39330

GCD(115, 342) = ( 115 x 342 ) / 39330

GCD(115, 342) = 39330 / 39330

GCD(115, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 115, 342, 12, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 252, 43, 755
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• GCD of 491, 647, 45, 198
• GCD of 179, 139, 46, 923
• GCD of 748, 281, 11, 464

1. What is the GCD of 115, 342, 12, 160?

GCD of 115, 342, 12, 160 is 1

2. Where do I get the detailed procedure to find GCD of 115, 342, 12, 160?

You can find a detailed procedure to find GCD of 115, 342, 12, 160 on our page.

3. How to find GCD of 115, 342, 12, 160 on a calculator?

You can find the GCD of 115, 342, 12, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.