GCD of 148, 472, 28, 851 Calculator

Given Input numbers are 148, 472, 28, 851

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 148, 472, 28, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 472, 28, 851 is 1.

Therefore, GCD of numbers 148, 472, 28, 851 is 1

Given Input Data is 148, 472, 28, 851

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 851 is 23 x 37

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(148, 472) = 17464

GCD(148, 472) = ( 148 x 472 ) / 17464

GCD(148, 472) = 69856 / 17464

GCD(148, 472) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 28

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

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

GCD(4, 28) = 112 / 28

GCD(4, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 851

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

LCM(4, 851) = 3404

GCD(4, 851) = ( 4 x 851 ) / 3404

GCD(4, 851) = 3404 / 3404

GCD(4, 851) = 1

GCD of 148, 472, 28, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 214, 82, 685
• GCD of 803, 654, 62, 285
• GCD of 996, 799, 20, 401
• GCD of 650, 203, 27, 284
• GCD of 172, 888, 55, 412

1. What is the GCD of 148, 472, 28, 851?

GCD of 148, 472, 28, 851 is 1

2. Where do I get the detailed procedure to find GCD of 148, 472, 28, 851?

You can find a detailed procedure to find GCD of 148, 472, 28, 851 on our page.

3. How to find GCD of 148, 472, 28, 851 on a calculator?

You can find the GCD of 148, 472, 28, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.