GCD of 112, 494, 37, 295 Calculator

Given Input numbers are 112, 494, 37, 295

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 112, 494, 37, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 494, 37, 295 is 1.

Therefore, GCD of numbers 112, 494, 37, 295 is 1

Given Input Data is 112, 494, 37, 295

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 494 is 2 x 13 x 19

Prime Factorization of 37 is 37

Prime Factorization of 295 is 5 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(112, 494) = 27664

GCD(112, 494) = ( 112 x 494 ) / 27664

GCD(112, 494) = 55328 / 27664

GCD(112, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 112, 494, 37, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 485, 80, 383
• GCD of 106, 858, 69, 296
• GCD of 175, 433, 83, 911
• GCD of 116, 645, 91, 585
• GCD of 638, 986, 96, 823

1. What is the GCD of 112, 494, 37, 295?

GCD of 112, 494, 37, 295 is 1

2. Where do I get the detailed procedure to find GCD of 112, 494, 37, 295?

You can find a detailed procedure to find GCD of 112, 494, 37, 295 on our page.

3. How to find GCD of 112, 494, 37, 295 on a calculator?

You can find the GCD of 112, 494, 37, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.