GCD of 28, 470, 283, 731 Calculator

Given Input numbers are 28, 470, 283, 731

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 28, 470, 283, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 470, 283, 731 is 1.

Therefore, GCD of numbers 28, 470, 283, 731 is 1

Given Input Data is 28, 470, 283, 731

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 283 is 283

Prime Factorization of 731 is 17 x 43

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(28, 470) = 6580

GCD(28, 470) = ( 28 x 470 ) / 6580

GCD(28, 470) = 13160 / 6580

GCD(28, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 283

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

LCM(2, 283) = 566

GCD(2, 283) = ( 2 x 283 ) / 566

GCD(2, 283) = 566 / 566

GCD(2, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 28, 470, 283, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 765, 993, 902
• GCD of 70, 752, 965, 758
• GCD of 43, 985, 848, 682
• GCD of 80, 695, 581, 871
• GCD of 95, 487, 919, 689

1. What is the GCD of 28, 470, 283, 731?

GCD of 28, 470, 283, 731 is 1

2. Where do I get the detailed procedure to find GCD of 28, 470, 283, 731?

You can find a detailed procedure to find GCD of 28, 470, 283, 731 on our page.

3. How to find GCD of 28, 470, 283, 731 on a calculator?

You can find the GCD of 28, 470, 283, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.