GCD of 428, 982, 927, 251 Calculator

Given Input numbers are 428, 982, 927, 251

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

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 428, 982, 927, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 982, 927, 251 is 1.

Therefore, GCD of numbers 428, 982, 927, 251 is 1

Given Input Data is 428, 982, 927, 251

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 982 is 2 x 491

Prime Factorization of 927 is 3 x 3 x 103

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(428, 982) = 210148

GCD(428, 982) = ( 428 x 982 ) / 210148

GCD(428, 982) = 420296 / 210148

GCD(428, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 927

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

LCM(2, 927) = 1854

GCD(2, 927) = ( 2 x 927 ) / 1854

GCD(2, 927) = 1854 / 1854

GCD(2, 927) = 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 428, 982, 927, 251 is 1

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1. What is the GCD of 428, 982, 927, 251?

GCD of 428, 982, 927, 251 is 1

2. Where do I get the detailed procedure to find GCD of 428, 982, 927, 251?

You can find a detailed procedure to find GCD of 428, 982, 927, 251 on our page.

3. How to find GCD of 428, 982, 927, 251 on a calculator?

You can find the GCD of 428, 982, 927, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.