GCD of 512, 983, 16, 202 Calculator

Given Input numbers are 512, 983, 16, 202

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 512, 983, 16, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 983, 16, 202 is 1.

Therefore, GCD of numbers 512, 983, 16, 202 is 1

Given Input Data is 512, 983, 16, 202

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 983 is 983

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

Prime Factorization of 202 is 2 x 101

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(512, 983) = 503296

GCD(512, 983) = ( 512 x 983 ) / 503296

GCD(512, 983) = 503296 / 503296

GCD(512, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 512, 983, 16, 202 is 1

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1. What is the GCD of 512, 983, 16, 202?

GCD of 512, 983, 16, 202 is 1

2. Where do I get the detailed procedure to find GCD of 512, 983, 16, 202?

You can find a detailed procedure to find GCD of 512, 983, 16, 202 on our page.

3. How to find GCD of 512, 983, 16, 202 on a calculator?

You can find the GCD of 512, 983, 16, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.