GCD of 255, 807, 84, 177 Calculator

Given Input numbers are 255, 807, 84, 177

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 255, 807, 84, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 807, 84, 177 is 3.

Therefore, GCD of numbers 255, 807, 84, 177 is 3

Given Input Data is 255, 807, 84, 177

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 807 is 3 x 269

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 177 is 3 x 59

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(255, 807) = 68595

GCD(255, 807) = ( 255 x 807 ) / 68595

GCD(255, 807) = 205785 / 68595

GCD(255, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 177

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

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

GCD(3, 177) = 531 / 177

GCD(3, 177) = 3

GCD of 255, 807, 84, 177 is 3

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1. What is the GCD of 255, 807, 84, 177?

GCD of 255, 807, 84, 177 is 3

2. Where do I get the detailed procedure to find GCD of 255, 807, 84, 177?

You can find a detailed procedure to find GCD of 255, 807, 84, 177 on our page.

3. How to find GCD of 255, 807, 84, 177 on a calculator?

You can find the GCD of 255, 807, 84, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.