GCD of 165, 542, 51, 799 Calculator

Given Input numbers are 165, 542, 51, 799

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 165, 542, 51, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 542, 51, 799 is 1.

Therefore, GCD of numbers 165, 542, 51, 799 is 1

Given Input Data is 165, 542, 51, 799

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 542 is 2 x 271

Prime Factorization of 51 is 3 x 17

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(165, 542) = 89430

GCD(165, 542) = ( 165 x 542 ) / 89430

GCD(165, 542) = 89430 / 89430

GCD(165, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 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 165, 542, 51, 799 is 1

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1. What is the GCD of 165, 542, 51, 799?

GCD of 165, 542, 51, 799 is 1

2. Where do I get the detailed procedure to find GCD of 165, 542, 51, 799?

You can find a detailed procedure to find GCD of 165, 542, 51, 799 on our page.

3. How to find GCD of 165, 542, 51, 799 on a calculator?

You can find the GCD of 165, 542, 51, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.