GCD of 704, 147, 133, 306 Calculator

Given Input numbers are 704, 147, 133, 306

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 704, 147, 133, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 147, 133, 306 is 1.

Therefore, GCD of numbers 704, 147, 133, 306 is 1

Given Input Data is 704, 147, 133, 306

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 133 is 7 x 19

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(704, 147) = 103488

GCD(704, 147) = ( 704 x 147 ) / 103488

GCD(704, 147) = 103488 / 103488

GCD(704, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 704, 147, 133, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 240, 480, 387
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• GCD of 733, 829, 833, 600

1. What is the GCD of 704, 147, 133, 306?

GCD of 704, 147, 133, 306 is 1

2. Where do I get the detailed procedure to find GCD of 704, 147, 133, 306?

You can find a detailed procedure to find GCD of 704, 147, 133, 306 on our page.

3. How to find GCD of 704, 147, 133, 306 on a calculator?

You can find the GCD of 704, 147, 133, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.