GCD of 774, 684, 40, 358 Calculator

Given Input numbers are 774, 684, 40, 358

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 774, 684, 40, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 684, 40, 358 is 2.

Therefore, GCD of numbers 774, 684, 40, 358 is 2

Given Input Data is 774, 684, 40, 358

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 358 is 2 x 179

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, 684) = 29412

GCD(774, 684) = ( 774 x 684 ) / 29412

GCD(774, 684) = 529416 / 29412

GCD(774, 684) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 40

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

LCM(18, 40) = 360

GCD(18, 40) = ( 18 x 40 ) / 360

GCD(18, 40) = 720 / 360

GCD(18, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 774, 684, 40, 358 is 2

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• GCD of 173, 628, 81, 749
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1. What is the GCD of 774, 684, 40, 358?

GCD of 774, 684, 40, 358 is 2

2. Where do I get the detailed procedure to find GCD of 774, 684, 40, 358?

You can find a detailed procedure to find GCD of 774, 684, 40, 358 on our page.

3. How to find GCD of 774, 684, 40, 358 on a calculator?

You can find the GCD of 774, 684, 40, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.