GCD of 543, 449, 198, 960 Calculator

Given Input numbers are 543, 449, 198, 960

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 543, 449, 198, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 449, 198, 960 is 1.

Therefore, GCD of numbers 543, 449, 198, 960 is 1

Given Input Data is 543, 449, 198, 960

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 449 is 449

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(543, 449) = 243807

GCD(543, 449) = ( 543 x 449 ) / 243807

GCD(543, 449) = 243807 / 243807

GCD(543, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 543, 449, 198, 960 is 1

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1. What is the GCD of 543, 449, 198, 960?

GCD of 543, 449, 198, 960 is 1

2. Where do I get the detailed procedure to find GCD of 543, 449, 198, 960?

You can find a detailed procedure to find GCD of 543, 449, 198, 960 on our page.

3. How to find GCD of 543, 449, 198, 960 on a calculator?

You can find the GCD of 543, 449, 198, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.