GCD of 517, 448, 141, 204 Calculator

Given Input numbers are 517, 448, 141, 204

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 517, 448, 141, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 448, 141, 204 is 1.

Therefore, GCD of numbers 517, 448, 141, 204 is 1

Given Input Data is 517, 448, 141, 204

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 141 is 3 x 47

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(517, 448) = 231616

GCD(517, 448) = ( 517 x 448 ) / 231616

GCD(517, 448) = 231616 / 231616

GCD(517, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 517, 448, 141, 204 is 1

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1. What is the GCD of 517, 448, 141, 204?

GCD of 517, 448, 141, 204 is 1

2. Where do I get the detailed procedure to find GCD of 517, 448, 141, 204?

You can find a detailed procedure to find GCD of 517, 448, 141, 204 on our page.

3. How to find GCD of 517, 448, 141, 204 on a calculator?

You can find the GCD of 517, 448, 141, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.