GCD of 844, 496, 555, 960 Calculator

Given Input numbers are 844, 496, 555, 960

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

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 844, 496, 555, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 496, 555, 960 is 1.

Therefore, GCD of numbers 844, 496, 555, 960 is 1

Given Input Data is 844, 496, 555, 960

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 555 is 3 x 5 x 37

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(844, 496) = 104656

GCD(844, 496) = ( 844 x 496 ) / 104656

GCD(844, 496) = 418624 / 104656

GCD(844, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 555

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

LCM(4, 555) = 2220

GCD(4, 555) = ( 4 x 555 ) / 2220

GCD(4, 555) = 2220 / 2220

GCD(4, 555) = 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 844, 496, 555, 960 is 1

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1. What is the GCD of 844, 496, 555, 960?

GCD of 844, 496, 555, 960 is 1

2. Where do I get the detailed procedure to find GCD of 844, 496, 555, 960?

You can find a detailed procedure to find GCD of 844, 496, 555, 960 on our page.

3. How to find GCD of 844, 496, 555, 960 on a calculator?

You can find the GCD of 844, 496, 555, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.