GCD of 28, 112, 131, 182 Calculator

Given Input numbers are 28, 112, 131, 182

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 28, 112, 131, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 112, 131, 182 is 1.

Therefore, GCD of numbers 28, 112, 131, 182 is 1

Given Input Data is 28, 112, 131, 182

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

Prime Factorization of 28 is 2 x 2 x 7

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

Prime Factorization of 131 is 131

Prime Factorization of 182 is 2 x 7 x 13

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(28, 112) = 112

GCD(28, 112) = ( 28 x 112 ) / 112

GCD(28, 112) = 3136 / 112

GCD(28, 112) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 131

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

LCM(28, 131) = 3668

GCD(28, 131) = ( 28 x 131 ) / 3668

GCD(28, 131) = 3668 / 3668

GCD(28, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 28, 112, 131, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 666, 115, 214
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• GCD of 82, 332, 608, 910
• GCD of 80, 931, 171, 814
• GCD of 74, 704, 619, 418

1. What is the GCD of 28, 112, 131, 182?

GCD of 28, 112, 131, 182 is 1

2. Where do I get the detailed procedure to find GCD of 28, 112, 131, 182?

You can find a detailed procedure to find GCD of 28, 112, 131, 182 on our page.

3. How to find GCD of 28, 112, 131, 182 on a calculator?

You can find the GCD of 28, 112, 131, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.