GCD of 135, 303, 66, 346 Calculator

Given Input numbers are 135, 303, 66, 346

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 303

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

1, 3, 101, 303

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 135, 303, 66, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 303, 66, 346 is 1.

Therefore, GCD of numbers 135, 303, 66, 346 is 1

Given Input Data is 135, 303, 66, 346

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 303 is 3 x 101

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 346 is 2 x 173

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(135, 303) = 13635

GCD(135, 303) = ( 135 x 303 ) / 13635

GCD(135, 303) = 40905 / 13635

GCD(135, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 346

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

LCM(3, 346) = 1038

GCD(3, 346) = ( 3 x 346 ) / 1038

GCD(3, 346) = 1038 / 1038

GCD(3, 346) = 1

GCD of 135, 303, 66, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 912, 49, 776
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1. What is the GCD of 135, 303, 66, 346?

GCD of 135, 303, 66, 346 is 1

2. Where do I get the detailed procedure to find GCD of 135, 303, 66, 346?

You can find a detailed procedure to find GCD of 135, 303, 66, 346 on our page.

3. How to find GCD of 135, 303, 66, 346 on a calculator?

You can find the GCD of 135, 303, 66, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.