GCD of 112, 848, 564, 990 Calculator

Given Input numbers are 112, 848, 564, 990

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 112, 848, 564, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 848, 564, 990 is 2.

Therefore, GCD of numbers 112, 848, 564, 990 is 2

Given Input Data is 112, 848, 564, 990

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 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 990 is 2 x 3 x 3 x 5 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, 848) = 5936

GCD(112, 848) = ( 112 x 848 ) / 5936

GCD(112, 848) = 94976 / 5936

GCD(112, 848) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 564

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

LCM(16, 564) = 2256

GCD(16, 564) = ( 16 x 564 ) / 2256

GCD(16, 564) = 9024 / 2256

GCD(16, 564) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 990

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

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

GCD(4, 990) = 3960 / 1980

GCD(4, 990) = 2

GCD of 112, 848, 564, 990 is 2

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1. What is the GCD of 112, 848, 564, 990?

GCD of 112, 848, 564, 990 is 2

2. Where do I get the detailed procedure to find GCD of 112, 848, 564, 990?

You can find a detailed procedure to find GCD of 112, 848, 564, 990 on our page.

3. How to find GCD of 112, 848, 564, 990 on a calculator?

You can find the GCD of 112, 848, 564, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.