GCD of 200, 957, 361, 471 Calculator

Given Input numbers are 200, 957, 361, 471

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

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 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 200, 957, 361, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 957, 361, 471 is 1.

Therefore, GCD of numbers 200, 957, 361, 471 is 1

Given Input Data is 200, 957, 361, 471

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

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 361 is 19 x 19

Prime Factorization of 471 is 3 x 157

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(200, 957) = 191400

GCD(200, 957) = ( 200 x 957 ) / 191400

GCD(200, 957) = 191400 / 191400

GCD(200, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 200, 957, 361, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 667, 473, 266
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• GCD of 310, 898, 713, 304
• GCD of 245, 786, 979, 524
• GCD of 115, 792, 208, 937

1. What is the GCD of 200, 957, 361, 471?

GCD of 200, 957, 361, 471 is 1

2. Where do I get the detailed procedure to find GCD of 200, 957, 361, 471?

You can find a detailed procedure to find GCD of 200, 957, 361, 471 on our page.

3. How to find GCD of 200, 957, 361, 471 on a calculator?

You can find the GCD of 200, 957, 361, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.