GCD of 882, 456, 19, 380 Calculator

Given Input numbers are 882, 456, 19, 380

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 882, 456, 19, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 456, 19, 380 is 1.

Therefore, GCD of numbers 882, 456, 19, 380 is 1

Given Input Data is 882, 456, 19, 380

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 19 is 19

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 456) = 67032

GCD(882, 456) = ( 882 x 456 ) / 67032

GCD(882, 456) = 402192 / 67032

GCD(882, 456) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 19

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

LCM(6, 19) = 114

GCD(6, 19) = ( 6 x 19 ) / 114

GCD(6, 19) = 114 / 114

GCD(6, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 882, 456, 19, 380 is 1

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1. What is the GCD of 882, 456, 19, 380?

GCD of 882, 456, 19, 380 is 1

2. Where do I get the detailed procedure to find GCD of 882, 456, 19, 380?

You can find a detailed procedure to find GCD of 882, 456, 19, 380 on our page.

3. How to find GCD of 882, 456, 19, 380 on a calculator?

You can find the GCD of 882, 456, 19, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.