GCD of 561, 291, 882 Calculator

Given Input numbers are 561, 291, 882

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 561, 291, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 291, 882 is 3.

Therefore, GCD of numbers 561, 291, 882 is 3

Given Input Data is 561, 291, 882

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 291 is 3 x 97

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(561, 291) = 54417

GCD(561, 291) = ( 561 x 291 ) / 54417

GCD(561, 291) = 163251 / 54417

GCD(561, 291) = 3

Step2:

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 561, 291, 882 is 3

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1. What is the GCD of 561, 291, 882?

GCD of 561, 291, 882 is 3

2. Where do I get the detailed procedure to find GCD of 561, 291, 882?

You can find a detailed procedure to find GCD of 561, 291, 882 on our page.

3. How to find GCD of 561, 291, 882 on a calculator?

You can find the GCD of 561, 291, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.