GCD of 728, 928, 175, 784 Calculator

Given Input numbers are 728, 928, 175, 784

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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

Greatest Common Divisior

We found the divisors of 728, 928, 175, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 928, 175, 784 is 1.

Therefore, GCD of numbers 728, 928, 175, 784 is 1

Given Input Data is 728, 928, 175, 784

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 175 is 5 x 5 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

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(728, 928) = 84448

GCD(728, 928) = ( 728 x 928 ) / 84448

GCD(728, 928) = 675584 / 84448

GCD(728, 928) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 175

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

LCM(8, 175) = 1400

GCD(8, 175) = ( 8 x 175 ) / 1400

GCD(8, 175) = 1400 / 1400

GCD(8, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 728, 928, 175, 784 is 1

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1. What is the GCD of 728, 928, 175, 784?

GCD of 728, 928, 175, 784 is 1

2. Where do I get the detailed procedure to find GCD of 728, 928, 175, 784?

You can find a detailed procedure to find GCD of 728, 928, 175, 784 on our page.

3. How to find GCD of 728, 928, 175, 784 on a calculator?

You can find the GCD of 728, 928, 175, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.