GCD of 243, 100, 202 Calculator

Given Input numbers are 243, 100, 202

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 202

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

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 243, 100, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 100, 202 is 1.

Therefore, GCD of numbers 243, 100, 202 is 1

Given Input Data is 243, 100, 202

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

Prime Factorization of 202 is 2 x 101

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(243, 100) = 24300

GCD(243, 100) = ( 243 x 100 ) / 24300

GCD(243, 100) = 24300 / 24300

GCD(243, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 243, 100, 202 is 1

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1. What is the GCD of 243, 100, 202?

GCD of 243, 100, 202 is 1

2. Where do I get the detailed procedure to find GCD of 243, 100, 202?

You can find a detailed procedure to find GCD of 243, 100, 202 on our page.

3. How to find GCD of 243, 100, 202 on a calculator?

You can find the GCD of 243, 100, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.