GCD of 558, 528, 318, 745 Calculator

Given Input numbers are 558, 528, 318, 745

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 558, 528, 318, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 528, 318, 745 is 1.

Therefore, GCD of numbers 558, 528, 318, 745 is 1

Given Input Data is 558, 528, 318, 745

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 745 is 5 x 149

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(558, 528) = 49104

GCD(558, 528) = ( 558 x 528 ) / 49104

GCD(558, 528) = 294624 / 49104

GCD(558, 528) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 318

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

LCM(6, 318) = 318

GCD(6, 318) = ( 6 x 318 ) / 318

GCD(6, 318) = 1908 / 318

GCD(6, 318) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 745

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

LCM(6, 745) = 4470

GCD(6, 745) = ( 6 x 745 ) / 4470

GCD(6, 745) = 4470 / 4470

GCD(6, 745) = 1

GCD of 558, 528, 318, 745 is 1

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1. What is the GCD of 558, 528, 318, 745?

GCD of 558, 528, 318, 745 is 1

2. Where do I get the detailed procedure to find GCD of 558, 528, 318, 745?

You can find a detailed procedure to find GCD of 558, 528, 318, 745 on our page.

3. How to find GCD of 558, 528, 318, 745 on a calculator?

You can find the GCD of 558, 528, 318, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.