GCD of 225, 112, 841, 942 Calculator

Given Input numbers are 225, 112, 841, 942

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 225, 112, 841, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 112, 841, 942 is 1.

Therefore, GCD of numbers 225, 112, 841, 942 is 1

Given Input Data is 225, 112, 841, 942

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

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

Prime Factorization of 841 is 29 x 29

Prime Factorization of 942 is 2 x 3 x 157

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(225, 112) = 25200

GCD(225, 112) = ( 225 x 112 ) / 25200

GCD(225, 112) = 25200 / 25200

GCD(225, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 225, 112, 841, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 824, 887, 747
• GCD of 465, 276, 863, 446
• GCD of 545, 262, 242, 239
• GCD of 797, 316, 358, 716
• GCD of 223, 998, 835, 942

1. What is the GCD of 225, 112, 841, 942?

GCD of 225, 112, 841, 942 is 1

2. Where do I get the detailed procedure to find GCD of 225, 112, 841, 942?

You can find a detailed procedure to find GCD of 225, 112, 841, 942 on our page.

3. How to find GCD of 225, 112, 841, 942 on a calculator?

You can find the GCD of 225, 112, 841, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.