GCD of 200, 918, 83, 736 Calculator

Given Input numbers are 200, 918, 83, 736

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 200, 918, 83, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 918, 83, 736 is 1.

Therefore, GCD of numbers 200, 918, 83, 736 is 1

Given Input Data is 200, 918, 83, 736

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 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 83 is 83

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 918) = 91800

GCD(200, 918) = ( 200 x 918 ) / 91800

GCD(200, 918) = 183600 / 91800

GCD(200, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 200, 918, 83, 736 is 1

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1. What is the GCD of 200, 918, 83, 736?

GCD of 200, 918, 83, 736 is 1

2. Where do I get the detailed procedure to find GCD of 200, 918, 83, 736?

You can find a detailed procedure to find GCD of 200, 918, 83, 736 on our page.

3. How to find GCD of 200, 918, 83, 736 on a calculator?

You can find the GCD of 200, 918, 83, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.