GCD of 112, 756, 88, 818 Calculator

Given Input numbers are 112, 756, 88, 818

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 112, 756, 88, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 756, 88, 818 is 2.

Therefore, GCD of numbers 112, 756, 88, 818 is 2

Given Input Data is 112, 756, 88, 818

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 818 is 2 x 409

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, 756) = 3024

GCD(112, 756) = ( 112 x 756 ) / 3024

GCD(112, 756) = 84672 / 3024

GCD(112, 756) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 88

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

LCM(28, 88) = 616

GCD(28, 88) = ( 28 x 88 ) / 616

GCD(28, 88) = 2464 / 616

GCD(28, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 818

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

LCM(4, 818) = 1636

GCD(4, 818) = ( 4 x 818 ) / 1636

GCD(4, 818) = 3272 / 1636

GCD(4, 818) = 2

GCD of 112, 756, 88, 818 is 2

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1. What is the GCD of 112, 756, 88, 818?

GCD of 112, 756, 88, 818 is 2

2. Where do I get the detailed procedure to find GCD of 112, 756, 88, 818?

You can find a detailed procedure to find GCD of 112, 756, 88, 818 on our page.

3. How to find GCD of 112, 756, 88, 818 on a calculator?

You can find the GCD of 112, 756, 88, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.