GCD of 484, 928, 17, 754 Calculator

Given Input numbers are 484, 928, 17, 754

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 484, 928, 17, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 928, 17, 754 is 1.

Therefore, GCD of numbers 484, 928, 17, 754 is 1

Given Input Data is 484, 928, 17, 754

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

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

Prime Factorization of 17 is 17

Prime Factorization of 754 is 2 x 13 x 29

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(484, 928) = 112288

GCD(484, 928) = ( 484 x 928 ) / 112288

GCD(484, 928) = 449152 / 112288

GCD(484, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 17

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

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

GCD(4, 17) = 68 / 68

GCD(4, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 484, 928, 17, 754 is 1

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1. What is the GCD of 484, 928, 17, 754?

GCD of 484, 928, 17, 754 is 1

2. Where do I get the detailed procedure to find GCD of 484, 928, 17, 754?

You can find a detailed procedure to find GCD of 484, 928, 17, 754 on our page.

3. How to find GCD of 484, 928, 17, 754 on a calculator?

You can find the GCD of 484, 928, 17, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.