GCD of 650, 303, 25, 814 Calculator

Given Input numbers are 650, 303, 25, 814

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

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 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 650, 303, 25, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 303, 25, 814 is 1.

Therefore, GCD of numbers 650, 303, 25, 814 is 1

Given Input Data is 650, 303, 25, 814

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

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 25 is 5 x 5

Prime Factorization of 814 is 2 x 11 x 37

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(650, 303) = 196950

GCD(650, 303) = ( 650 x 303 ) / 196950

GCD(650, 303) = 196950 / 196950

GCD(650, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 650, 303, 25, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 252, 20, 390
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1. What is the GCD of 650, 303, 25, 814?

GCD of 650, 303, 25, 814 is 1

2. Where do I get the detailed procedure to find GCD of 650, 303, 25, 814?

You can find a detailed procedure to find GCD of 650, 303, 25, 814 on our page.

3. How to find GCD of 650, 303, 25, 814 on a calculator?

You can find the GCD of 650, 303, 25, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.