GCD of 320, 378, 14, 814 Calculator

Given Input numbers are 320, 378, 14, 814

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 320, 378, 14, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 378, 14, 814 is 2.

Therefore, GCD of numbers 320, 378, 14, 814 is 2

Given Input Data is 320, 378, 14, 814

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 814 is 2 x 11 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(320, 378) = 60480

GCD(320, 378) = ( 320 x 378 ) / 60480

GCD(320, 378) = 120960 / 60480

GCD(320, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 320, 378, 14, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 150, 96, 185
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• GCD of 300, 470, 51, 753
• GCD of 478, 688, 43, 572

1. What is the GCD of 320, 378, 14, 814?

GCD of 320, 378, 14, 814 is 2

2. Where do I get the detailed procedure to find GCD of 320, 378, 14, 814?

You can find a detailed procedure to find GCD of 320, 378, 14, 814 on our page.

3. How to find GCD of 320, 378, 14, 814 on a calculator?

You can find the GCD of 320, 378, 14, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.