GCD of 205, 100, 650, 807 Calculator

Given Input numbers are 205, 100, 650, 807

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 205, 100, 650, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 100, 650, 807 is 1.

Therefore, GCD of numbers 205, 100, 650, 807 is 1

Given Input Data is 205, 100, 650, 807

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 807 is 3 x 269

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(205, 100) = 4100

GCD(205, 100) = ( 205 x 100 ) / 4100

GCD(205, 100) = 20500 / 4100

GCD(205, 100) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 650

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

LCM(5, 650) = 650

GCD(5, 650) = ( 5 x 650 ) / 650

GCD(5, 650) = 3250 / 650

GCD(5, 650) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 807

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

LCM(5, 807) = 4035

GCD(5, 807) = ( 5 x 807 ) / 4035

GCD(5, 807) = 4035 / 4035

GCD(5, 807) = 1

GCD of 205, 100, 650, 807 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 679, 380, 975
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• GCD of 806, 928, 727, 425

1. What is the GCD of 205, 100, 650, 807?

GCD of 205, 100, 650, 807 is 1

2. Where do I get the detailed procedure to find GCD of 205, 100, 650, 807?

You can find a detailed procedure to find GCD of 205, 100, 650, 807 on our page.

3. How to find GCD of 205, 100, 650, 807 on a calculator?

You can find the GCD of 205, 100, 650, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.