GCD of 254, 217, 51, 842 Calculator

Given Input numbers are 254, 217, 51, 842

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 254, 217, 51, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 217, 51, 842 is 1.

Therefore, GCD of numbers 254, 217, 51, 842 is 1

Given Input Data is 254, 217, 51, 842

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 217 is 7 x 31

Prime Factorization of 51 is 3 x 17

Prime Factorization of 842 is 2 x 421

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(254, 217) = 55118

GCD(254, 217) = ( 254 x 217 ) / 55118

GCD(254, 217) = 55118 / 55118

GCD(254, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 254, 217, 51, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 915, 38, 268
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• GCD of 305, 837, 63, 528
• GCD of 205, 254, 62, 483
• GCD of 111, 752, 38, 234

1. What is the GCD of 254, 217, 51, 842?

GCD of 254, 217, 51, 842 is 1

2. Where do I get the detailed procedure to find GCD of 254, 217, 51, 842?

You can find a detailed procedure to find GCD of 254, 217, 51, 842 on our page.

3. How to find GCD of 254, 217, 51, 842 on a calculator?

You can find the GCD of 254, 217, 51, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.