GCD of 784, 544, 174, 730 Calculator

Given Input numbers are 784, 544, 174, 730

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 784, 544, 174, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 544, 174, 730 is 2.

Therefore, GCD of numbers 784, 544, 174, 730 is 2

Given Input Data is 784, 544, 174, 730

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 730 is 2 x 5 x 73

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(784, 544) = 26656

GCD(784, 544) = ( 784 x 544 ) / 26656

GCD(784, 544) = 426496 / 26656

GCD(784, 544) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 174

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

LCM(16, 174) = 1392

GCD(16, 174) = ( 16 x 174 ) / 1392

GCD(16, 174) = 2784 / 1392

GCD(16, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 784, 544, 174, 730 is 2

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1. What is the GCD of 784, 544, 174, 730?

GCD of 784, 544, 174, 730 is 2

2. Where do I get the detailed procedure to find GCD of 784, 544, 174, 730?

You can find a detailed procedure to find GCD of 784, 544, 174, 730 on our page.

3. How to find GCD of 784, 544, 174, 730 on a calculator?

You can find the GCD of 784, 544, 174, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.