GCD of 882, 300, 840 Calculator

Given Input numbers are 882, 300, 840

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

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 882, 300, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 300, 840 is 6.

Therefore, GCD of numbers 882, 300, 840 is 6

Given Input Data is 882, 300, 840

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

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(882, 300) = 44100

GCD(882, 300) = ( 882 x 300 ) / 44100

GCD(882, 300) = 264600 / 44100

GCD(882, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 840

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

LCM(6, 840) = 840

GCD(6, 840) = ( 6 x 840 ) / 840

GCD(6, 840) = 5040 / 840

GCD(6, 840) = 6

GCD of 882, 300, 840 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 699, 440
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1. What is the GCD of 882, 300, 840?

GCD of 882, 300, 840 is 6

2. Where do I get the detailed procedure to find GCD of 882, 300, 840?

You can find a detailed procedure to find GCD of 882, 300, 840 on our page.

3. How to find GCD of 882, 300, 840 on a calculator?

You can find the GCD of 882, 300, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.