GCD of 704, 108, 645, 111 Calculator

Given Input numbers are 704, 108, 645, 111

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 704, 108, 645, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 108, 645, 111 is 1.

Therefore, GCD of numbers 704, 108, 645, 111 is 1

Given Input Data is 704, 108, 645, 111

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 111 is 3 x 37

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, 108) = 19008

GCD(704, 108) = ( 704 x 108 ) / 19008

GCD(704, 108) = 76032 / 19008

GCD(704, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 645

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

LCM(4, 645) = 2580

GCD(4, 645) = ( 4 x 645 ) / 2580

GCD(4, 645) = 2580 / 2580

GCD(4, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 704, 108, 645, 111 is 1

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• GCD of 961, 707, 447, 967
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• GCD of 742, 922, 105, 293

1. What is the GCD of 704, 108, 645, 111?

GCD of 704, 108, 645, 111 is 1

2. Where do I get the detailed procedure to find GCD of 704, 108, 645, 111?

You can find a detailed procedure to find GCD of 704, 108, 645, 111 on our page.

3. How to find GCD of 704, 108, 645, 111 on a calculator?

You can find the GCD of 704, 108, 645, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.