GCD of 303, 661, 100 Calculator

Given Input numbers are 303, 661, 100

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

Divisors of 303

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

1, 3, 101, 303

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

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

Greatest Common Divisior

We found the divisors of 303, 661, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 661, 100 is 1.

Therefore, GCD of numbers 303, 661, 100 is 1

Given Input Data is 303, 661, 100

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 661 is 661

Prime Factorization of 100 is 2 x 2 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(303, 661) = 200283

GCD(303, 661) = ( 303 x 661 ) / 200283

GCD(303, 661) = 200283 / 200283

GCD(303, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 303, 661, 100 is 1

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1. What is the GCD of 303, 661, 100?

GCD of 303, 661, 100 is 1

2. Where do I get the detailed procedure to find GCD of 303, 661, 100?

You can find a detailed procedure to find GCD of 303, 661, 100 on our page.

3. How to find GCD of 303, 661, 100 on a calculator?

You can find the GCD of 303, 661, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.