GCD of 470, 416, 378, 882 Calculator

Given Input numbers are 470, 416, 378, 882

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 470, 416, 378, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 416, 378, 882 is 2.

Therefore, GCD of numbers 470, 416, 378, 882 is 2

Given Input Data is 470, 416, 378, 882

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

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(470, 416) = 97760

GCD(470, 416) = ( 470 x 416 ) / 97760

GCD(470, 416) = 195520 / 97760

GCD(470, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 470, 416, 378, 882 is 2

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1. What is the GCD of 470, 416, 378, 882?

GCD of 470, 416, 378, 882 is 2

2. Where do I get the detailed procedure to find GCD of 470, 416, 378, 882?

You can find a detailed procedure to find GCD of 470, 416, 378, 882 on our page.

3. How to find GCD of 470, 416, 378, 882 on a calculator?

You can find the GCD of 470, 416, 378, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.