GCD of 573, 495, 992, 960 Calculator

Given Input numbers are 573, 495, 992, 960

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

Greatest Common Divisior

We found the divisors of 573, 495, 992, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 495, 992, 960 is 1.

Therefore, GCD of numbers 573, 495, 992, 960 is 1

Given Input Data is 573, 495, 992, 960

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

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(573, 495) = 94545

GCD(573, 495) = ( 573 x 495 ) / 94545

GCD(573, 495) = 283635 / 94545

GCD(573, 495) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 573, 495, 992, 960 is 1

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1. What is the GCD of 573, 495, 992, 960?

GCD of 573, 495, 992, 960 is 1

2. Where do I get the detailed procedure to find GCD of 573, 495, 992, 960?

You can find a detailed procedure to find GCD of 573, 495, 992, 960 on our page.

3. How to find GCD of 573, 495, 992, 960 on a calculator?

You can find the GCD of 573, 495, 992, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.