GCD of 350, 789, 112 Calculator

Given Input numbers are 350, 789, 112

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 350, 789, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 789, 112 is 1.

Therefore, GCD of numbers 350, 789, 112 is 1

Given Input Data is 350, 789, 112

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 789 is 3 x 263

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(350, 789) = 276150

GCD(350, 789) = ( 350 x 789 ) / 276150

GCD(350, 789) = 276150 / 276150

GCD(350, 789) = 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 350, 789, 112 is 1

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1. What is the GCD of 350, 789, 112?

GCD of 350, 789, 112 is 1

2. Where do I get the detailed procedure to find GCD of 350, 789, 112?

You can find a detailed procedure to find GCD of 350, 789, 112 on our page.

3. How to find GCD of 350, 789, 112 on a calculator?

You can find the GCD of 350, 789, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.