GCD of 112, 332, 188, 207 Calculator

Given Input numbers are 112, 332, 188, 207

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 112, 332, 188, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 332, 188, 207 is 1.

Therefore, GCD of numbers 112, 332, 188, 207 is 1

Given Input Data is 112, 332, 188, 207

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 332 is 2 x 2 x 83

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 207 is 3 x 3 x 23

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, 332) = 9296

GCD(112, 332) = ( 112 x 332 ) / 9296

GCD(112, 332) = 37184 / 9296

GCD(112, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 188

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

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

GCD(4, 188) = 752 / 188

GCD(4, 188) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 207

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

LCM(4, 207) = 828

GCD(4, 207) = ( 4 x 207 ) / 828

GCD(4, 207) = 828 / 828

GCD(4, 207) = 1

GCD of 112, 332, 188, 207 is 1

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1. What is the GCD of 112, 332, 188, 207?

GCD of 112, 332, 188, 207 is 1

2. Where do I get the detailed procedure to find GCD of 112, 332, 188, 207?

You can find a detailed procedure to find GCD of 112, 332, 188, 207 on our page.

3. How to find GCD of 112, 332, 188, 207 on a calculator?

You can find the GCD of 112, 332, 188, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.