GCD of 112, 998, 25, 359 Calculator

Given Input numbers are 112, 998, 25, 359

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 112, 998, 25, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 998, 25, 359 is 1.

Therefore, GCD of numbers 112, 998, 25, 359 is 1

Given Input Data is 112, 998, 25, 359

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 998 is 2 x 499

Prime Factorization of 25 is 5 x 5

Prime Factorization of 359 is 359

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, 998) = 55888

GCD(112, 998) = ( 112 x 998 ) / 55888

GCD(112, 998) = 111776 / 55888

GCD(112, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 112, 998, 25, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 497, 89, 236
• GCD of 693, 568, 43, 171
• GCD of 596, 579, 93, 796
• GCD of 988, 811, 39, 379
• GCD of 259, 309, 87, 438

1. What is the GCD of 112, 998, 25, 359?

GCD of 112, 998, 25, 359 is 1

2. Where do I get the detailed procedure to find GCD of 112, 998, 25, 359?

You can find a detailed procedure to find GCD of 112, 998, 25, 359 on our page.

3. How to find GCD of 112, 998, 25, 359 on a calculator?

You can find the GCD of 112, 998, 25, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.