GCD of 445, 960, 704, 558 Calculator

Given Input numbers are 445, 960, 704, 558

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

Greatest Common Divisior

We found the divisors of 445, 960, 704, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 960, 704, 558 is 1.

Therefore, GCD of numbers 445, 960, 704, 558 is 1

Given Input Data is 445, 960, 704, 558

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

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(445, 960) = 85440

GCD(445, 960) = ( 445 x 960 ) / 85440

GCD(445, 960) = 427200 / 85440

GCD(445, 960) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 704

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

LCM(5, 704) = 3520

GCD(5, 704) = ( 5 x 704 ) / 3520

GCD(5, 704) = 3520 / 3520

GCD(5, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 445, 960, 704, 558 is 1

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1. What is the GCD of 445, 960, 704, 558?

GCD of 445, 960, 704, 558 is 1

2. Where do I get the detailed procedure to find GCD of 445, 960, 704, 558?

You can find a detailed procedure to find GCD of 445, 960, 704, 558 on our page.

3. How to find GCD of 445, 960, 704, 558 on a calculator?

You can find the GCD of 445, 960, 704, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.