GCD of 291, 471, 66, 200 Calculator

Given Input numbers are 291, 471, 66, 200

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 291, 471, 66, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 471, 66, 200 is 1.

Therefore, GCD of numbers 291, 471, 66, 200 is 1

Given Input Data is 291, 471, 66, 200

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 471 is 3 x 157

Prime Factorization of 66 is 2 x 3 x 11

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(291, 471) = 45687

GCD(291, 471) = ( 291 x 471 ) / 45687

GCD(291, 471) = 137061 / 45687

GCD(291, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 200

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

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

GCD(3, 200) = 600 / 600

GCD(3, 200) = 1

GCD of 291, 471, 66, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 344, 67, 275
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1. What is the GCD of 291, 471, 66, 200?

GCD of 291, 471, 66, 200 is 1

2. Where do I get the detailed procedure to find GCD of 291, 471, 66, 200?

You can find a detailed procedure to find GCD of 291, 471, 66, 200 on our page.

3. How to find GCD of 291, 471, 66, 200 on a calculator?

You can find the GCD of 291, 471, 66, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.