GCD of 14, 852, 422, 380 Calculator

Given Input numbers are 14, 852, 422, 380

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 14, 852, 422, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 852, 422, 380 is 2.

Therefore, GCD of numbers 14, 852, 422, 380 is 2

Given Input Data is 14, 852, 422, 380

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 422 is 2 x 211

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(14, 852) = 5964

GCD(14, 852) = ( 14 x 852 ) / 5964

GCD(14, 852) = 11928 / 5964

GCD(14, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

GCD of 14, 852, 422, 380 is 2

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• GCD of 12, 448, 710, 129
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1. What is the GCD of 14, 852, 422, 380?

GCD of 14, 852, 422, 380 is 2

2. Where do I get the detailed procedure to find GCD of 14, 852, 422, 380?

You can find a detailed procedure to find GCD of 14, 852, 422, 380 on our page.

3. How to find GCD of 14, 852, 422, 380 on a calculator?

You can find the GCD of 14, 852, 422, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.