GCD of 704, 871, 33, 255 Calculator

Given Input numbers are 704, 871, 33, 255

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 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 33

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

1, 3, 11, 33

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 704, 871, 33, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 871, 33, 255 is 1.

Therefore, GCD of numbers 704, 871, 33, 255 is 1

Given Input Data is 704, 871, 33, 255

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 871 is 13 x 67

Prime Factorization of 33 is 3 x 11

Prime Factorization of 255 is 3 x 5 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, 871) = 613184

GCD(704, 871) = ( 704 x 871 ) / 613184

GCD(704, 871) = 613184 / 613184

GCD(704, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 704, 871, 33, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 863, 63, 585
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• GCD of 456, 107, 77, 910
• GCD of 828, 429, 11, 504

1. What is the GCD of 704, 871, 33, 255?

GCD of 704, 871, 33, 255 is 1

2. Where do I get the detailed procedure to find GCD of 704, 871, 33, 255?

You can find a detailed procedure to find GCD of 704, 871, 33, 255 on our page.

3. How to find GCD of 704, 871, 33, 255 on a calculator?

You can find the GCD of 704, 871, 33, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.