GCD of 975, 500, 96, 286 Calculator

Given Input numbers are 975, 500, 96, 286

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 975, 500, 96, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 500, 96, 286 is 1.

Therefore, GCD of numbers 975, 500, 96, 286 is 1

Given Input Data is 975, 500, 96, 286

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Prime Factorization of 286 is 2 x 11 x 13

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(975, 500) = 19500

GCD(975, 500) = ( 975 x 500 ) / 19500

GCD(975, 500) = 487500 / 19500

GCD(975, 500) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 96

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

LCM(25, 96) = 2400

GCD(25, 96) = ( 25 x 96 ) / 2400

GCD(25, 96) = 2400 / 2400

GCD(25, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 975, 500, 96, 286 is 1

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1. What is the GCD of 975, 500, 96, 286?

GCD of 975, 500, 96, 286 is 1

2. Where do I get the detailed procedure to find GCD of 975, 500, 96, 286?

You can find a detailed procedure to find GCD of 975, 500, 96, 286 on our page.

3. How to find GCD of 975, 500, 96, 286 on a calculator?

You can find the GCD of 975, 500, 96, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.