GCD of 774, 706, 270, 756 Calculator

Given Input numbers are 774, 706, 270, 756

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

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 774, 706, 270, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 706, 270, 756 is 2.

Therefore, GCD of numbers 774, 706, 270, 756 is 2

Given Input Data is 774, 706, 270, 756

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

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

Prime Factorization of 706 is 2 x 353

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(774, 706) = 273222

GCD(774, 706) = ( 774 x 706 ) / 273222

GCD(774, 706) = 546444 / 273222

GCD(774, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 774, 706, 270, 756 is 2

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1. What is the GCD of 774, 706, 270, 756?

GCD of 774, 706, 270, 756 is 2

2. Where do I get the detailed procedure to find GCD of 774, 706, 270, 756?

You can find a detailed procedure to find GCD of 774, 706, 270, 756 on our page.

3. How to find GCD of 774, 706, 270, 756 on a calculator?

You can find the GCD of 774, 706, 270, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.