GCD of 990, 598, 51, 882 Calculator

Given Input numbers are 990, 598, 51, 882

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

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 990, 598, 51, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 598, 51, 882 is 1.

Therefore, GCD of numbers 990, 598, 51, 882 is 1

Given Input Data is 990, 598, 51, 882

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 51 is 3 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

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(990, 598) = 296010

GCD(990, 598) = ( 990 x 598 ) / 296010

GCD(990, 598) = 592020 / 296010

GCD(990, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 990, 598, 51, 882 is 1

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• GCD of 587, 308, 72, 435
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1. What is the GCD of 990, 598, 51, 882?

GCD of 990, 598, 51, 882 is 1

2. Where do I get the detailed procedure to find GCD of 990, 598, 51, 882?

You can find a detailed procedure to find GCD of 990, 598, 51, 882 on our page.

3. How to find GCD of 990, 598, 51, 882 on a calculator?

You can find the GCD of 990, 598, 51, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.