GCD of 303, 258, 669, 882 Calculator

Given Input numbers are 303, 258, 669, 882

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

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 303, 258, 669, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 258, 669, 882 is 3.

Therefore, GCD of numbers 303, 258, 669, 882 is 3

Given Input Data is 303, 258, 669, 882

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 669 is 3 x 223

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(303, 258) = 26058

GCD(303, 258) = ( 303 x 258 ) / 26058

GCD(303, 258) = 78174 / 26058

GCD(303, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 669

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

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

GCD(3, 669) = 2007 / 669

GCD(3, 669) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 882

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

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

GCD(3, 882) = 2646 / 882

GCD(3, 882) = 3

GCD of 303, 258, 669, 882 is 3

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1. What is the GCD of 303, 258, 669, 882?

GCD of 303, 258, 669, 882 is 3

2. Where do I get the detailed procedure to find GCD of 303, 258, 669, 882?

You can find a detailed procedure to find GCD of 303, 258, 669, 882 on our page.

3. How to find GCD of 303, 258, 669, 882 on a calculator?

You can find the GCD of 303, 258, 669, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.