GCD of 200, 731, 99, 757 Calculator

Given Input numbers are 200, 731, 99, 757

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 200, 731, 99, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 731, 99, 757 is 1.

Therefore, GCD of numbers 200, 731, 99, 757 is 1

Given Input Data is 200, 731, 99, 757

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 731 is 17 x 43

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 757 is 757

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, 731) = 146200

GCD(200, 731) = ( 200 x 731 ) / 146200

GCD(200, 731) = 146200 / 146200

GCD(200, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 200, 731, 99, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 735, 16, 276
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• GCD of 132, 998, 43, 468

1. What is the GCD of 200, 731, 99, 757?

GCD of 200, 731, 99, 757 is 1

2. Where do I get the detailed procedure to find GCD of 200, 731, 99, 757?

You can find a detailed procedure to find GCD of 200, 731, 99, 757 on our page.

3. How to find GCD of 200, 731, 99, 757 on a calculator?

You can find the GCD of 200, 731, 99, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.