GCD of 16, 648, 380, 213 Calculator

Given Input numbers are 16, 648, 380, 213

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

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 16, 648, 380, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 648, 380, 213 is 1.

Therefore, GCD of numbers 16, 648, 380, 213 is 1

Given Input Data is 16, 648, 380, 213

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

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(16, 648) = 1296

GCD(16, 648) = ( 16 x 648 ) / 1296

GCD(16, 648) = 10368 / 1296

GCD(16, 648) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 380

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

LCM(8, 380) = 760

GCD(8, 380) = ( 8 x 380 ) / 760

GCD(8, 380) = 3040 / 760

GCD(8, 380) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 213

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

LCM(4, 213) = 852

GCD(4, 213) = ( 4 x 213 ) / 852

GCD(4, 213) = 852 / 852

GCD(4, 213) = 1

GCD of 16, 648, 380, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 821, 794, 679
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• GCD of 31, 310, 950, 608

1. What is the GCD of 16, 648, 380, 213?

GCD of 16, 648, 380, 213 is 1

2. Where do I get the detailed procedure to find GCD of 16, 648, 380, 213?

You can find a detailed procedure to find GCD of 16, 648, 380, 213 on our page.

3. How to find GCD of 16, 648, 380, 213 on a calculator?

You can find the GCD of 16, 648, 380, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.