GCD of 552, 311, 301, 200 Calculator

Given Input numbers are 552, 311, 301, 200

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 552, 311, 301, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 311, 301, 200 is 1.

Therefore, GCD of numbers 552, 311, 301, 200 is 1

Given Input Data is 552, 311, 301, 200

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 311 is 311

Prime Factorization of 301 is 7 x 43

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(552, 311) = 171672

GCD(552, 311) = ( 552 x 311 ) / 171672

GCD(552, 311) = 171672 / 171672

GCD(552, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 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 552, 311, 301, 200 is 1

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1. What is the GCD of 552, 311, 301, 200?

GCD of 552, 311, 301, 200 is 1

2. Where do I get the detailed procedure to find GCD of 552, 311, 301, 200?

You can find a detailed procedure to find GCD of 552, 311, 301, 200 on our page.

3. How to find GCD of 552, 311, 301, 200 on a calculator?

You can find the GCD of 552, 311, 301, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.