GCD of 792, 254, 842, 514 Calculator

Given Input numbers are 792, 254, 842, 514

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 254

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

1, 2, 127, 254

Divisors of 842

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

1, 2, 421, 842

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 792, 254, 842, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 254, 842, 514 is 2.

Therefore, GCD of numbers 792, 254, 842, 514 is 2

Given Input Data is 792, 254, 842, 514

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 254 is 2 x 127

Prime Factorization of 842 is 2 x 421

Prime Factorization of 514 is 2 x 257

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(792, 254) = 100584

GCD(792, 254) = ( 792 x 254 ) / 100584

GCD(792, 254) = 201168 / 100584

GCD(792, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 792, 254, 842, 514 is 2

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1. What is the GCD of 792, 254, 842, 514?

GCD of 792, 254, 842, 514 is 2

2. Where do I get the detailed procedure to find GCD of 792, 254, 842, 514?

You can find a detailed procedure to find GCD of 792, 254, 842, 514 on our page.

3. How to find GCD of 792, 254, 842, 514 on a calculator?

You can find the GCD of 792, 254, 842, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.