GCD of 304, 671, 814, 914 Calculator

Given Input numbers are 304, 671, 814, 914

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 304, 671, 814, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 671, 814, 914 is 1.

Therefore, GCD of numbers 304, 671, 814, 914 is 1

Given Input Data is 304, 671, 814, 914

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 671 is 11 x 61

Prime Factorization of 814 is 2 x 11 x 37

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(304, 671) = 203984

GCD(304, 671) = ( 304 x 671 ) / 203984

GCD(304, 671) = 203984 / 203984

GCD(304, 671) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 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 304, 671, 814, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 645, 754, 800
• GCD of 507, 111, 976, 602
• GCD of 458, 330, 456, 518
• GCD of 136, 725, 140, 328
• GCD of 254, 657, 452, 896

1. What is the GCD of 304, 671, 814, 914?

GCD of 304, 671, 814, 914 is 1

2. Where do I get the detailed procedure to find GCD of 304, 671, 814, 914?

You can find a detailed procedure to find GCD of 304, 671, 814, 914 on our page.

3. How to find GCD of 304, 671, 814, 914 on a calculator?

You can find the GCD of 304, 671, 814, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.