GCD of 704, 704, 33, 365 Calculator

Given Input numbers are 704, 704, 33, 365

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 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 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 704, 704, 33, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 704, 33, 365 is 1.

Therefore, GCD of numbers 704, 704, 33, 365 is 1

Given Input Data is 704, 704, 33, 365

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 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 33 is 3 x 11

Prime Factorization of 365 is 5 x 73

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, 704) = 704

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

GCD(704, 704) = 495616 / 704

GCD(704, 704) = 704

Step2:

Here we consider the GCD from the above i.e. 704 as first number and the next as 33

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

LCM(704, 33) = 2112

GCD(704, 33) = ( 704 x 33 ) / 2112

GCD(704, 33) = 23232 / 2112

GCD(704, 33) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 365

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

LCM(11, 365) = 4015

GCD(11, 365) = ( 11 x 365 ) / 4015

GCD(11, 365) = 4015 / 4015

GCD(11, 365) = 1

GCD of 704, 704, 33, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 473, 26, 732
• GCD of 848, 230, 45, 354
• GCD of 788, 944, 55, 329
• GCD of 325, 564, 49, 421
• GCD of 885, 987, 41, 224

1. What is the GCD of 704, 704, 33, 365?

GCD of 704, 704, 33, 365 is 1

2. Where do I get the detailed procedure to find GCD of 704, 704, 33, 365?

You can find a detailed procedure to find GCD of 704, 704, 33, 365 on our page.

3. How to find GCD of 704, 704, 33, 365 on a calculator?

You can find the GCD of 704, 704, 33, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.