GCD of 890, 750, 112 Calculator

Given Input numbers are 890, 750, 112

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 890, 750, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 750, 112 is 2.

Therefore, GCD of numbers 890, 750, 112 is 2

Given Input Data is 890, 750, 112

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(890, 750) = 66750

GCD(890, 750) = ( 890 x 750 ) / 66750

GCD(890, 750) = 667500 / 66750

GCD(890, 750) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 112

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

LCM(10, 112) = 560

GCD(10, 112) = ( 10 x 112 ) / 560

GCD(10, 112) = 1120 / 560

GCD(10, 112) = 2

GCD of 890, 750, 112 is 2

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1. What is the GCD of 890, 750, 112?

GCD of 890, 750, 112 is 2

2. Where do I get the detailed procedure to find GCD of 890, 750, 112?

You can find a detailed procedure to find GCD of 890, 750, 112 on our page.

3. How to find GCD of 890, 750, 112 on a calculator?

You can find the GCD of 890, 750, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.