GCD of 514, 772, 874 Calculator

Given Input numbers are 514, 772, 874

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

Divisors of 514

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

1, 2, 257, 514

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 514, 772, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 772, 874 is 2.

Therefore, GCD of numbers 514, 772, 874 is 2

Given Input Data is 514, 772, 874

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 874 is 2 x 19 x 23

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(514, 772) = 198404

GCD(514, 772) = ( 514 x 772 ) / 198404

GCD(514, 772) = 396808 / 198404

GCD(514, 772) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 514, 772, 874 is 2

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1. What is the GCD of 514, 772, 874?

GCD of 514, 772, 874 is 2

2. Where do I get the detailed procedure to find GCD of 514, 772, 874?

You can find a detailed procedure to find GCD of 514, 772, 874 on our page.

3. How to find GCD of 514, 772, 874 on a calculator?

You can find the GCD of 514, 772, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.