GCD of 786, 727, 99, 200 Calculator

Given Input numbers are 786, 727, 99, 200

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 99

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

1, 3, 9, 11, 33, 99

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 786, 727, 99, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 727, 99, 200 is 1.

Therefore, GCD of numbers 786, 727, 99, 200 is 1

Given Input Data is 786, 727, 99, 200

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 727 is 727

Prime Factorization of 99 is 3 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(786, 727) = 571422

GCD(786, 727) = ( 786 x 727 ) / 571422

GCD(786, 727) = 571422 / 571422

GCD(786, 727) = 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 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 786, 727, 99, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 290, 25, 129
• GCD of 180, 976, 48, 259
• GCD of 289, 830, 81, 967
• GCD of 428, 133, 53, 770
• GCD of 208, 442, 70, 649

1. What is the GCD of 786, 727, 99, 200?

GCD of 786, 727, 99, 200 is 1

2. Where do I get the detailed procedure to find GCD of 786, 727, 99, 200?

You can find a detailed procedure to find GCD of 786, 727, 99, 200 on our page.

3. How to find GCD of 786, 727, 99, 200 on a calculator?

You can find the GCD of 786, 727, 99, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.