GCD of 253, 540, 19, 241 Calculator

Given Input numbers are 253, 540, 19, 241

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 253, 540, 19, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 540, 19, 241 is 1.

Therefore, GCD of numbers 253, 540, 19, 241 is 1

Given Input Data is 253, 540, 19, 241

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

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 19 is 19

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(253, 540) = 136620

GCD(253, 540) = ( 253 x 540 ) / 136620

GCD(253, 540) = 136620 / 136620

GCD(253, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 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 253, 540, 19, 241 is 1

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• GCD of 464, 292, 39, 850
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1. What is the GCD of 253, 540, 19, 241?

GCD of 253, 540, 19, 241 is 1

2. Where do I get the detailed procedure to find GCD of 253, 540, 19, 241?

You can find a detailed procedure to find GCD of 253, 540, 19, 241 on our page.

3. How to find GCD of 253, 540, 19, 241 on a calculator?

You can find the GCD of 253, 540, 19, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.