GCD of 878, 520, 384, 380 Calculator

Given Input numbers are 878, 520, 384, 380

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 878, 520, 384, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 520, 384, 380 is 2.

Therefore, GCD of numbers 878, 520, 384, 380 is 2

Given Input Data is 878, 520, 384, 380

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(878, 520) = 228280

GCD(878, 520) = ( 878 x 520 ) / 228280

GCD(878, 520) = 456560 / 228280

GCD(878, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 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 878, 520, 384, 380 is 2

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1. What is the GCD of 878, 520, 384, 380?

GCD of 878, 520, 384, 380 is 2

2. Where do I get the detailed procedure to find GCD of 878, 520, 384, 380?

You can find a detailed procedure to find GCD of 878, 520, 384, 380 on our page.

3. How to find GCD of 878, 520, 384, 380 on a calculator?

You can find the GCD of 878, 520, 384, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.