GCD of 202, 305, 498, 225 Calculator

Given Input numbers are 202, 305, 498, 225

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

Divisors of 202

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

1, 2, 101, 202

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 202, 305, 498, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 305, 498, 225 is 1.

Therefore, GCD of numbers 202, 305, 498, 225 is 1

Given Input Data is 202, 305, 498, 225

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 305 is 5 x 61

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 225 is 3 x 3 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(202, 305) = 61610

GCD(202, 305) = ( 202 x 305 ) / 61610

GCD(202, 305) = 61610 / 61610

GCD(202, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 202, 305, 498, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 501, 345, 843
• GCD of 382, 285, 256, 830
• GCD of 459, 623, 298, 334
• GCD of 584, 106, 860, 543
• GCD of 126, 662, 290, 498

1. What is the GCD of 202, 305, 498, 225?

GCD of 202, 305, 498, 225 is 1

2. Where do I get the detailed procedure to find GCD of 202, 305, 498, 225?

You can find a detailed procedure to find GCD of 202, 305, 498, 225 on our page.

3. How to find GCD of 202, 305, 498, 225 on a calculator?

You can find the GCD of 202, 305, 498, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.