GCD of 882, 176, 118 Calculator

Given Input numbers are 882, 176, 118

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 118

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

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 882, 176, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 176, 118 is 2.

Therefore, GCD of numbers 882, 176, 118 is 2

Given Input Data is 882, 176, 118

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 118 is 2 x 59

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(882, 176) = 77616

GCD(882, 176) = ( 882 x 176 ) / 77616

GCD(882, 176) = 155232 / 77616

GCD(882, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 882, 176, 118 is 2

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1. What is the GCD of 882, 176, 118?

GCD of 882, 176, 118 is 2

2. Where do I get the detailed procedure to find GCD of 882, 176, 118?

You can find a detailed procedure to find GCD of 882, 176, 118 on our page.

3. How to find GCD of 882, 176, 118 on a calculator?

You can find the GCD of 882, 176, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.