GCD of 547, 272, 960, 799 Calculator

Given Input numbers are 547, 272, 960, 799

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 547, 272, 960, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 272, 960, 799 is 1.

Therefore, GCD of numbers 547, 272, 960, 799 is 1

Given Input Data is 547, 272, 960, 799

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

Prime Factorization of 547 is 547

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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

Prime Factorization of 799 is 17 x 47

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(547, 272) = 148784

GCD(547, 272) = ( 547 x 272 ) / 148784

GCD(547, 272) = 148784 / 148784

GCD(547, 272) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 547, 272, 960, 799 is 1

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1. What is the GCD of 547, 272, 960, 799?

GCD of 547, 272, 960, 799 is 1

2. Where do I get the detailed procedure to find GCD of 547, 272, 960, 799?

You can find a detailed procedure to find GCD of 547, 272, 960, 799 on our page.

3. How to find GCD of 547, 272, 960, 799 on a calculator?

You can find the GCD of 547, 272, 960, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.