GCD of 18, 118, 756, 832 Calculator

Given Input numbers are 18, 118, 756, 832

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 18, 118, 756, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 118, 756, 832 is 2.

Therefore, GCD of numbers 18, 118, 756, 832 is 2

Given Input Data is 18, 118, 756, 832

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 118 is 2 x 59

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(18, 118) = 1062

GCD(18, 118) = ( 18 x 118 ) / 1062

GCD(18, 118) = 2124 / 1062

GCD(18, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

GCD of 18, 118, 756, 832 is 2

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1. What is the GCD of 18, 118, 756, 832?

GCD of 18, 118, 756, 832 is 2

2. Where do I get the detailed procedure to find GCD of 18, 118, 756, 832?

You can find a detailed procedure to find GCD of 18, 118, 756, 832 on our page.

3. How to find GCD of 18, 118, 756, 832 on a calculator?

You can find the GCD of 18, 118, 756, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.