GCD of 918, 654, 16, 211 Calculator

Given Input numbers are 918, 654, 16, 211

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 918, 654, 16, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 654, 16, 211 is 1.

Therefore, GCD of numbers 918, 654, 16, 211 is 1

Given Input Data is 918, 654, 16, 211

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 654 is 2 x 3 x 109

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

Prime Factorization of 211 is 211

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(918, 654) = 100062

GCD(918, 654) = ( 918 x 654 ) / 100062

GCD(918, 654) = 600372 / 100062

GCD(918, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

GCD of 918, 654, 16, 211 is 1

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1. What is the GCD of 918, 654, 16, 211?

GCD of 918, 654, 16, 211 is 1

2. Where do I get the detailed procedure to find GCD of 918, 654, 16, 211?

You can find a detailed procedure to find GCD of 918, 654, 16, 211 on our page.

3. How to find GCD of 918, 654, 16, 211 on a calculator?

You can find the GCD of 918, 654, 16, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.