GCD of 515, 108, 38, 280 Calculator

Given Input numbers are 515, 108, 38, 280

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 515, 108, 38, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 108, 38, 280 is 1.

Therefore, GCD of numbers 515, 108, 38, 280 is 1

Given Input Data is 515, 108, 38, 280

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 38 is 2 x 19

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

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(515, 108) = 55620

GCD(515, 108) = ( 515 x 108 ) / 55620

GCD(515, 108) = 55620 / 55620

GCD(515, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 515, 108, 38, 280 is 1

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1. What is the GCD of 515, 108, 38, 280?

GCD of 515, 108, 38, 280 is 1

2. Where do I get the detailed procedure to find GCD of 515, 108, 38, 280?

You can find a detailed procedure to find GCD of 515, 108, 38, 280 on our page.

3. How to find GCD of 515, 108, 38, 280 on a calculator?

You can find the GCD of 515, 108, 38, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.