GCD of 300, 800, 92, 535 Calculator

Given Input numbers are 300, 800, 92, 535

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 300, 800, 92, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 800, 92, 535 is 1.

Therefore, GCD of numbers 300, 800, 92, 535 is 1

Given Input Data is 300, 800, 92, 535

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 535 is 5 x 107

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(300, 800) = 2400

GCD(300, 800) = ( 300 x 800 ) / 2400

GCD(300, 800) = 240000 / 2400

GCD(300, 800) = 100

Step2:

Here we consider the GCD from the above i.e. 100 as first number and the next as 92

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

LCM(100, 92) = 2300

GCD(100, 92) = ( 100 x 92 ) / 2300

GCD(100, 92) = 9200 / 2300

GCD(100, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 535

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

LCM(4, 535) = 2140

GCD(4, 535) = ( 4 x 535 ) / 2140

GCD(4, 535) = 2140 / 2140

GCD(4, 535) = 1

GCD of 300, 800, 92, 535 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 551, 99, 157
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• GCD of 700, 133, 67, 368

1. What is the GCD of 300, 800, 92, 535?

GCD of 300, 800, 92, 535 is 1

2. Where do I get the detailed procedure to find GCD of 300, 800, 92, 535?

You can find a detailed procedure to find GCD of 300, 800, 92, 535 on our page.

3. How to find GCD of 300, 800, 92, 535 on a calculator?

You can find the GCD of 300, 800, 92, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.