GCD of 74, 227, 310, 143 Calculator

Given Input numbers are 74, 227, 310, 143

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 227

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

1, 227

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 74, 227, 310, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 227, 310, 143 is 1.

Therefore, GCD of numbers 74, 227, 310, 143 is 1

Given Input Data is 74, 227, 310, 143

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 227 is 227

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 143 is 11 x 13

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(74, 227) = 16798

GCD(74, 227) = ( 74 x 227 ) / 16798

GCD(74, 227) = 16798 / 16798

GCD(74, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 74, 227, 310, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 420, 741, 698
• GCD of 53, 422, 214, 850
• GCD of 38, 906, 447, 398
• GCD of 51, 324, 712, 866
• GCD of 18, 488, 916, 344

1. What is the GCD of 74, 227, 310, 143?

GCD of 74, 227, 310, 143 is 1

2. Where do I get the detailed procedure to find GCD of 74, 227, 310, 143?

You can find a detailed procedure to find GCD of 74, 227, 310, 143 on our page.

3. How to find GCD of 74, 227, 310, 143 on a calculator?

You can find the GCD of 74, 227, 310, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.