GCD of 112, 514, 428, 141 Calculator

Given Input numbers are 112, 514, 428, 141

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 112, 514, 428, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 514, 428, 141 is 1.

Therefore, GCD of numbers 112, 514, 428, 141 is 1

Given Input Data is 112, 514, 428, 141

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 514 is 2 x 257

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 141 is 3 x 47

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, 514) = 28784

GCD(112, 514) = ( 112 x 514 ) / 28784

GCD(112, 514) = 57568 / 28784

GCD(112, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

GCD of 112, 514, 428, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 250, 927, 629
• GCD of 468, 273, 160, 159
• GCD of 495, 702, 156, 696
• GCD of 116, 329, 746, 299
• GCD of 197, 726, 953, 365

1. What is the GCD of 112, 514, 428, 141?

GCD of 112, 514, 428, 141 is 1

2. Where do I get the detailed procedure to find GCD of 112, 514, 428, 141?

You can find a detailed procedure to find GCD of 112, 514, 428, 141 on our page.

3. How to find GCD of 112, 514, 428, 141 on a calculator?

You can find the GCD of 112, 514, 428, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.