GCD of 255, 427, 85, 300 Calculator

Given Input numbers are 255, 427, 85, 300

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 255, 427, 85, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 427, 85, 300 is 1.

Therefore, GCD of numbers 255, 427, 85, 300 is 1

Given Input Data is 255, 427, 85, 300

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 427 is 7 x 61

Prime Factorization of 85 is 5 x 17

Prime Factorization of 300 is 2 x 2 x 3 x 5 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(255, 427) = 108885

GCD(255, 427) = ( 255 x 427 ) / 108885

GCD(255, 427) = 108885 / 108885

GCD(255, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 255, 427, 85, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 459, 58, 218
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• GCD of 567, 460, 55, 153
• GCD of 663, 215, 60, 558
• GCD of 972, 625, 12, 113

1. What is the GCD of 255, 427, 85, 300?

GCD of 255, 427, 85, 300 is 1

2. Where do I get the detailed procedure to find GCD of 255, 427, 85, 300?

You can find a detailed procedure to find GCD of 255, 427, 85, 300 on our page.

3. How to find GCD of 255, 427, 85, 300 on a calculator?

You can find the GCD of 255, 427, 85, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.