GCD of 112, 814, 726 Calculator

Given Input numbers are 112, 814, 726

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 112, 814, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 814, 726 is 2.

Therefore, GCD of numbers 112, 814, 726 is 2

Given Input Data is 112, 814, 726

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 814 is 2 x 11 x 37

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(112, 814) = 45584

GCD(112, 814) = ( 112 x 814 ) / 45584

GCD(112, 814) = 91168 / 45584

GCD(112, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 112, 814, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 831, 210
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• GCD of 299, 120, 535
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1. What is the GCD of 112, 814, 726?

GCD of 112, 814, 726 is 2

2. Where do I get the detailed procedure to find GCD of 112, 814, 726?

You can find a detailed procedure to find GCD of 112, 814, 726 on our page.

3. How to find GCD of 112, 814, 726 on a calculator?

You can find the GCD of 112, 814, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.