GCD of 476, 882, 40, 852 Calculator

Given Input numbers are 476, 882, 40, 852

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 476, 882, 40, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 882, 40, 852 is 2.

Therefore, GCD of numbers 476, 882, 40, 852 is 2

Given Input Data is 476, 882, 40, 852

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(476, 882) = 29988

GCD(476, 882) = ( 476 x 882 ) / 29988

GCD(476, 882) = 419832 / 29988

GCD(476, 882) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 40

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

LCM(14, 40) = 280

GCD(14, 40) = ( 14 x 40 ) / 280

GCD(14, 40) = 560 / 280

GCD(14, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 476, 882, 40, 852 is 2

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1. What is the GCD of 476, 882, 40, 852?

GCD of 476, 882, 40, 852 is 2

2. Where do I get the detailed procedure to find GCD of 476, 882, 40, 852?

You can find a detailed procedure to find GCD of 476, 882, 40, 852 on our page.

3. How to find GCD of 476, 882, 40, 852 on a calculator?

You can find the GCD of 476, 882, 40, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.