GCD of 564, 175, 16, 799 Calculator

Given Input numbers are 564, 175, 16, 799

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 564, 175, 16, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 175, 16, 799 is 1.

Therefore, GCD of numbers 564, 175, 16, 799 is 1

Given Input Data is 564, 175, 16, 799

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(564, 175) = 98700

GCD(564, 175) = ( 564 x 175 ) / 98700

GCD(564, 175) = 98700 / 98700

GCD(564, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 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 564, 175, 16, 799 is 1

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1. What is the GCD of 564, 175, 16, 799?

GCD of 564, 175, 16, 799 is 1

2. Where do I get the detailed procedure to find GCD of 564, 175, 16, 799?

You can find a detailed procedure to find GCD of 564, 175, 16, 799 on our page.

3. How to find GCD of 564, 175, 16, 799 on a calculator?

You can find the GCD of 564, 175, 16, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.