GCD of 541, 528, 14, 231 Calculator

Given Input numbers are 541, 528, 14, 231

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

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 541, 528, 14, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 528, 14, 231 is 1.

Therefore, GCD of numbers 541, 528, 14, 231 is 1

Given Input Data is 541, 528, 14, 231

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

Prime Factorization of 541 is 541

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 231 is 3 x 7 x 11

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(541, 528) = 285648

GCD(541, 528) = ( 541 x 528 ) / 285648

GCD(541, 528) = 285648 / 285648

GCD(541, 528) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 541, 528, 14, 231 is 1

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• GCD of 747, 313, 57, 263
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1. What is the GCD of 541, 528, 14, 231?

GCD of 541, 528, 14, 231 is 1

2. Where do I get the detailed procedure to find GCD of 541, 528, 14, 231?

You can find a detailed procedure to find GCD of 541, 528, 14, 231 on our page.

3. How to find GCD of 541, 528, 14, 231 on a calculator?

You can find the GCD of 541, 528, 14, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.