GCD of 192, 270, 516, 774 Calculator

Given Input numbers are 192, 270, 516, 774

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 192, 270, 516, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 270, 516, 774 is 6.

Therefore, GCD of numbers 192, 270, 516, 774 is 6

Given Input Data is 192, 270, 516, 774

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 774 is 2 x 3 x 3 x 43

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(192, 270) = 8640

GCD(192, 270) = ( 192 x 270 ) / 8640

GCD(192, 270) = 51840 / 8640

GCD(192, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 516

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

LCM(6, 516) = 516

GCD(6, 516) = ( 6 x 516 ) / 516

GCD(6, 516) = 3096 / 516

GCD(6, 516) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 774

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

LCM(6, 774) = 774

GCD(6, 774) = ( 6 x 774 ) / 774

GCD(6, 774) = 4644 / 774

GCD(6, 774) = 6

GCD of 192, 270, 516, 774 is 6

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1. What is the GCD of 192, 270, 516, 774?

GCD of 192, 270, 516, 774 is 6

2. Where do I get the detailed procedure to find GCD of 192, 270, 516, 774?

You can find a detailed procedure to find GCD of 192, 270, 516, 774 on our page.

3. How to find GCD of 192, 270, 516, 774 on a calculator?

You can find the GCD of 192, 270, 516, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.