GCD of 528, 200, 209, 313 Calculator

Given Input numbers are 528, 200, 209, 313

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 528, 200, 209, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 200, 209, 313 is 1.

Therefore, GCD of numbers 528, 200, 209, 313 is 1

Given Input Data is 528, 200, 209, 313

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 209 is 11 x 19

Prime Factorization of 313 is 313

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(528, 200) = 13200

GCD(528, 200) = ( 528 x 200 ) / 13200

GCD(528, 200) = 105600 / 13200

GCD(528, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 209

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

LCM(8, 209) = 1672

GCD(8, 209) = ( 8 x 209 ) / 1672

GCD(8, 209) = 1672 / 1672

GCD(8, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 528, 200, 209, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 856, 660, 852
• GCD of 572, 493, 461, 142
• GCD of 560, 310, 515, 740
• GCD of 424, 153, 589, 369
• GCD of 202, 195, 605, 656

1. What is the GCD of 528, 200, 209, 313?

GCD of 528, 200, 209, 313 is 1

2. Where do I get the detailed procedure to find GCD of 528, 200, 209, 313?

You can find a detailed procedure to find GCD of 528, 200, 209, 313 on our page.

3. How to find GCD of 528, 200, 209, 313 on a calculator?

You can find the GCD of 528, 200, 209, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.