GCD of 242, 104, 40, 882 Calculator

Given Input numbers are 242, 104, 40, 882

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 242, 104, 40, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 104, 40, 882 is 2.

Therefore, GCD of numbers 242, 104, 40, 882 is 2

Given Input Data is 242, 104, 40, 882

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 882 is 2 x 3 x 3 x 7 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(242, 104) = 12584

GCD(242, 104) = ( 242 x 104 ) / 12584

GCD(242, 104) = 25168 / 12584

GCD(242, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 242, 104, 40, 882 is 2

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• GCD of 292, 378, 18, 585
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• GCD of 409, 839, 58, 227

1. What is the GCD of 242, 104, 40, 882?

GCD of 242, 104, 40, 882 is 2

2. Where do I get the detailed procedure to find GCD of 242, 104, 40, 882?

You can find a detailed procedure to find GCD of 242, 104, 40, 882 on our page.

3. How to find GCD of 242, 104, 40, 882 on a calculator?

You can find the GCD of 242, 104, 40, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.