GCD of 280, 520, 388 Calculator

Given Input numbers are 280, 520, 388

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 280, 520, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 520, 388 is 4.

Therefore, GCD of numbers 280, 520, 388 is 4

Given Input Data is 280, 520, 388

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 388 is 2 x 2 x 97

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(280, 520) = 3640

GCD(280, 520) = ( 280 x 520 ) / 3640

GCD(280, 520) = 145600 / 3640

GCD(280, 520) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 388

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

LCM(40, 388) = 3880

GCD(40, 388) = ( 40 x 388 ) / 3880

GCD(40, 388) = 15520 / 3880

GCD(40, 388) = 4

GCD of 280, 520, 388 is 4

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1. What is the GCD of 280, 520, 388?

GCD of 280, 520, 388 is 4

2. Where do I get the detailed procedure to find GCD of 280, 520, 388?

You can find a detailed procedure to find GCD of 280, 520, 388 on our page.

3. How to find GCD of 280, 520, 388 on a calculator?

You can find the GCD of 280, 520, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.