GCD of 380, 540, 853, 241 Calculator

Given Input numbers are 380, 540, 853, 241

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

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 380, 540, 853, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 540, 853, 241 is 1.

Therefore, GCD of numbers 380, 540, 853, 241 is 1

Given Input Data is 380, 540, 853, 241

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

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 853 is 853

Prime Factorization of 241 is 241

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(380, 540) = 10260

GCD(380, 540) = ( 380 x 540 ) / 10260

GCD(380, 540) = 205200 / 10260

GCD(380, 540) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 853

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

LCM(20, 853) = 17060

GCD(20, 853) = ( 20 x 853 ) / 17060

GCD(20, 853) = 17060 / 17060

GCD(20, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 380, 540, 853, 241 is 1

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1. What is the GCD of 380, 540, 853, 241?

GCD of 380, 540, 853, 241 is 1

2. Where do I get the detailed procedure to find GCD of 380, 540, 853, 241?

You can find a detailed procedure to find GCD of 380, 540, 853, 241 on our page.

3. How to find GCD of 380, 540, 853, 241 on a calculator?

You can find the GCD of 380, 540, 853, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.