GCD of 200, 366, 910, 713 Calculator

Given Input numbers are 200, 366, 910, 713

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 200, 366, 910, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 366, 910, 713 is 1.

Therefore, GCD of numbers 200, 366, 910, 713 is 1

Given Input Data is 200, 366, 910, 713

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 366 is 2 x 3 x 61

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 713 is 23 x 31

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, 366) = 36600

GCD(200, 366) = ( 200 x 366 ) / 36600

GCD(200, 366) = 73200 / 36600

GCD(200, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 200, 366, 910, 713 is 1

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1. What is the GCD of 200, 366, 910, 713?

GCD of 200, 366, 910, 713 is 1

2. Where do I get the detailed procedure to find GCD of 200, 366, 910, 713?

You can find a detailed procedure to find GCD of 200, 366, 910, 713 on our page.

3. How to find GCD of 200, 366, 910, 713 on a calculator?

You can find the GCD of 200, 366, 910, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.