GCD of 851, 828, 348, 251 Calculator

Given Input numbers are 851, 828, 348, 251

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

Divisors of 851

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

1, 23, 37, 851

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 851, 828, 348, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 828, 348, 251 is 1.

Therefore, GCD of numbers 851, 828, 348, 251 is 1

Given Input Data is 851, 828, 348, 251

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 251 is 251

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(851, 828) = 30636

GCD(851, 828) = ( 851 x 828 ) / 30636

GCD(851, 828) = 704628 / 30636

GCD(851, 828) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 348

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

LCM(23, 348) = 8004

GCD(23, 348) = ( 23 x 348 ) / 8004

GCD(23, 348) = 8004 / 8004

GCD(23, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 851, 828, 348, 251 is 1

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1. What is the GCD of 851, 828, 348, 251?

GCD of 851, 828, 348, 251 is 1

2. Where do I get the detailed procedure to find GCD of 851, 828, 348, 251?

You can find a detailed procedure to find GCD of 851, 828, 348, 251 on our page.

3. How to find GCD of 851, 828, 348, 251 on a calculator?

You can find the GCD of 851, 828, 348, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.