GCD of 814, 488, 321, 119 Calculator

Given Input numbers are 814, 488, 321, 119

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

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 814, 488, 321, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 488, 321, 119 is 1.

Therefore, GCD of numbers 814, 488, 321, 119 is 1

Given Input Data is 814, 488, 321, 119

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 321 is 3 x 107

Prime Factorization of 119 is 7 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(814, 488) = 198616

GCD(814, 488) = ( 814 x 488 ) / 198616

GCD(814, 488) = 397232 / 198616

GCD(814, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 814, 488, 321, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 828, 757, 370
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• GCD of 306, 549, 895, 123

1. What is the GCD of 814, 488, 321, 119?

GCD of 814, 488, 321, 119 is 1

2. Where do I get the detailed procedure to find GCD of 814, 488, 321, 119?

You can find a detailed procedure to find GCD of 814, 488, 321, 119 on our page.

3. How to find GCD of 814, 488, 321, 119 on a calculator?

You can find the GCD of 814, 488, 321, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.