GCD of 227, 253, 600, 170 Calculator

Given Input numbers are 227, 253, 600, 170

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 227, 253, 600, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 253, 600, 170 is 1.

Therefore, GCD of numbers 227, 253, 600, 170 is 1

Given Input Data is 227, 253, 600, 170

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

Prime Factorization of 227 is 227

Prime Factorization of 253 is 11 x 23

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 170 is 2 x 5 x 17

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(227, 253) = 57431

GCD(227, 253) = ( 227 x 253 ) / 57431

GCD(227, 253) = 57431 / 57431

GCD(227, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 227, 253, 600, 170 is 1

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1. What is the GCD of 227, 253, 600, 170?

GCD of 227, 253, 600, 170 is 1

2. Where do I get the detailed procedure to find GCD of 227, 253, 600, 170?

You can find a detailed procedure to find GCD of 227, 253, 600, 170 on our page.

3. How to find GCD of 227, 253, 600, 170 on a calculator?

You can find the GCD of 227, 253, 600, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.