GCD of 112, 117, 96, 627 Calculator

Given Input numbers are 112, 117, 96, 627

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 112, 117, 96, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 117, 96, 627 is 1.

Therefore, GCD of numbers 112, 117, 96, 627 is 1

Given Input Data is 112, 117, 96, 627

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 117 is 3 x 3 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 627 is 3 x 11 x 19

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, 117) = 13104

GCD(112, 117) = ( 112 x 117 ) / 13104

GCD(112, 117) = 13104 / 13104

GCD(112, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 112, 117, 96, 627 is 1

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1. What is the GCD of 112, 117, 96, 627?

GCD of 112, 117, 96, 627 is 1

2. Where do I get the detailed procedure to find GCD of 112, 117, 96, 627?

You can find a detailed procedure to find GCD of 112, 117, 96, 627 on our page.

3. How to find GCD of 112, 117, 96, 627 on a calculator?

You can find the GCD of 112, 117, 96, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.