GCD of 300, 202, 53, 203 Calculator

Given Input numbers are 300, 202, 53, 203

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 300, 202, 53, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 202, 53, 203 is 1.

Therefore, GCD of numbers 300, 202, 53, 203 is 1

Given Input Data is 300, 202, 53, 203

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 202 is 2 x 101

Prime Factorization of 53 is 53

Prime Factorization of 203 is 7 x 29

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, 202) = 30300

GCD(300, 202) = ( 300 x 202 ) / 30300

GCD(300, 202) = 60600 / 30300

GCD(300, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 300, 202, 53, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 682, 35, 157
• GCD of 990, 303, 68, 666
• GCD of 569, 914, 13, 931
• GCD of 938, 687, 52, 198
• GCD of 882, 620, 96, 219

1. What is the GCD of 300, 202, 53, 203?

GCD of 300, 202, 53, 203 is 1

2. Where do I get the detailed procedure to find GCD of 300, 202, 53, 203?

You can find a detailed procedure to find GCD of 300, 202, 53, 203 on our page.

3. How to find GCD of 300, 202, 53, 203 on a calculator?

You can find the GCD of 300, 202, 53, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.