GCD of 882, 472, 376, 213 Calculator

Given Input numbers are 882, 472, 376, 213

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 882, 472, 376, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 472, 376, 213 is 1.

Therefore, GCD of numbers 882, 472, 376, 213 is 1

Given Input Data is 882, 472, 376, 213

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 213 is 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

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, 472) = 208152

GCD(882, 472) = ( 882 x 472 ) / 208152

GCD(882, 472) = 416304 / 208152

GCD(882, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 882, 472, 376, 213 is 1

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1. What is the GCD of 882, 472, 376, 213?

GCD of 882, 472, 376, 213 is 1

2. Where do I get the detailed procedure to find GCD of 882, 472, 376, 213?

You can find a detailed procedure to find GCD of 882, 472, 376, 213 on our page.

3. How to find GCD of 882, 472, 376, 213 on a calculator?

You can find the GCD of 882, 472, 376, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.