GCD of 704, 991, 382, 914 Calculator

Given Input numbers are 704, 991, 382, 914

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 704, 991, 382, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 991, 382, 914 is 1.

Therefore, GCD of numbers 704, 991, 382, 914 is 1

Given Input Data is 704, 991, 382, 914

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 991 is 991

Prime Factorization of 382 is 2 x 191

Prime Factorization of 914 is 2 x 457

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, 991) = 697664

GCD(704, 991) = ( 704 x 991 ) / 697664

GCD(704, 991) = 697664 / 697664

GCD(704, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 704, 991, 382, 914 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 704, 991, 382, 914?

GCD of 704, 991, 382, 914 is 1

2. Where do I get the detailed procedure to find GCD of 704, 991, 382, 914?

You can find a detailed procedure to find GCD of 704, 991, 382, 914 on our page.

3. How to find GCD of 704, 991, 382, 914 on a calculator?

You can find the GCD of 704, 991, 382, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.