GCD of 128, 480, 973, 996 Calculator

Given Input numbers are 128, 480, 973, 996

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 128, 480, 973, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 480, 973, 996 is 1.

Therefore, GCD of numbers 128, 480, 973, 996 is 1

Given Input Data is 128, 480, 973, 996

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 973 is 7 x 139

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(128, 480) = 1920

GCD(128, 480) = ( 128 x 480 ) / 1920

GCD(128, 480) = 61440 / 1920

GCD(128, 480) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 973

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

LCM(32, 973) = 31136

GCD(32, 973) = ( 32 x 973 ) / 31136

GCD(32, 973) = 31136 / 31136

GCD(32, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 128, 480, 973, 996 is 1

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1. What is the GCD of 128, 480, 973, 996?

GCD of 128, 480, 973, 996 is 1

2. Where do I get the detailed procedure to find GCD of 128, 480, 973, 996?

You can find a detailed procedure to find GCD of 128, 480, 973, 996 on our page.

3. How to find GCD of 128, 480, 973, 996 on a calculator?

You can find the GCD of 128, 480, 973, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.