GCD of 160, 480, 96, 989 Calculator

Given Input numbers are 160, 480, 96, 989

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 160, 480, 96, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 480, 96, 989 is 1.

Therefore, GCD of numbers 160, 480, 96, 989 is 1

Given Input Data is 160, 480, 96, 989

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 989 is 23 x 43

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(160, 480) = 480

GCD(160, 480) = ( 160 x 480 ) / 480

GCD(160, 480) = 76800 / 480

GCD(160, 480) = 160

Step2:

Here we consider the GCD from the above i.e. 160 as first number and the next as 96

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

LCM(160, 96) = 480

GCD(160, 96) = ( 160 x 96 ) / 480

GCD(160, 96) = 15360 / 480

GCD(160, 96) = 32

Step3:

Here we consider the GCD from the above i.e. 32 as first number and the next as 989

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

LCM(32, 989) = 31648

GCD(32, 989) = ( 32 x 989 ) / 31648

GCD(32, 989) = 31648 / 31648

GCD(32, 989) = 1

GCD of 160, 480, 96, 989 is 1

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1. What is the GCD of 160, 480, 96, 989?

GCD of 160, 480, 96, 989 is 1

2. Where do I get the detailed procedure to find GCD of 160, 480, 96, 989?

You can find a detailed procedure to find GCD of 160, 480, 96, 989 on our page.

3. How to find GCD of 160, 480, 96, 989 on a calculator?

You can find the GCD of 160, 480, 96, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.