GCD of 747, 107, 112 Calculator

Given Input numbers are 747, 107, 112

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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

Greatest Common Divisior

We found the divisors of 747, 107, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 107, 112 is 1.

Therefore, GCD of numbers 747, 107, 112 is 1

Given Input Data is 747, 107, 112

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 107 is 107

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

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(747, 107) = 79929

GCD(747, 107) = ( 747 x 107 ) / 79929

GCD(747, 107) = 79929 / 79929

GCD(747, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 747, 107, 112 is 1

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1. What is the GCD of 747, 107, 112?

GCD of 747, 107, 112 is 1

2. Where do I get the detailed procedure to find GCD of 747, 107, 112?

You can find a detailed procedure to find GCD of 747, 107, 112 on our page.

3. How to find GCD of 747, 107, 112 on a calculator?

You can find the GCD of 747, 107, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.