GCD of 16, 508, 227, 160 Calculator

Given Input numbers are 16, 508, 227, 160

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 16, 508, 227, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 508, 227, 160 is 1.

Therefore, GCD of numbers 16, 508, 227, 160 is 1

Given Input Data is 16, 508, 227, 160

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 508 is 2 x 2 x 127

Prime Factorization of 227 is 227

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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, 508) = 2032

GCD(16, 508) = ( 16 x 508 ) / 2032

GCD(16, 508) = 8128 / 2032

GCD(16, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 227

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

LCM(4, 227) = 908

GCD(4, 227) = ( 4 x 227 ) / 908

GCD(4, 227) = 908 / 908

GCD(4, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 16, 508, 227, 160 is 1

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• GCD of 93, 513, 506, 619
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• GCD of 69, 983, 945, 740

1. What is the GCD of 16, 508, 227, 160?

GCD of 16, 508, 227, 160 is 1

2. Where do I get the detailed procedure to find GCD of 16, 508, 227, 160?

You can find a detailed procedure to find GCD of 16, 508, 227, 160 on our page.

3. How to find GCD of 16, 508, 227, 160 on a calculator?

You can find the GCD of 16, 508, 227, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.