GCD of 475, 597, 16, 200 Calculator

Given Input numbers are 475, 597, 16, 200

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 475, 597, 16, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 597, 16, 200 is 1.

Therefore, GCD of numbers 475, 597, 16, 200 is 1

Given Input Data is 475, 597, 16, 200

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 597 is 3 x 199

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 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(475, 597) = 283575

GCD(475, 597) = ( 475 x 597 ) / 283575

GCD(475, 597) = 283575 / 283575

GCD(475, 597) = 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 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 475, 597, 16, 200 is 1

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• GCD of 212, 407, 13, 985
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1. What is the GCD of 475, 597, 16, 200?

GCD of 475, 597, 16, 200 is 1

2. Where do I get the detailed procedure to find GCD of 475, 597, 16, 200?

You can find a detailed procedure to find GCD of 475, 597, 16, 200 on our page.

3. How to find GCD of 475, 597, 16, 200 on a calculator?

You can find the GCD of 475, 597, 16, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.