GCD of 470, 896, 97, 288 Calculator

Given Input numbers are 470, 896, 97, 288

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 470, 896, 97, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 896, 97, 288 is 1.

Therefore, GCD of numbers 470, 896, 97, 288 is 1

Given Input Data is 470, 896, 97, 288

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 97 is 97

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(470, 896) = 210560

GCD(470, 896) = ( 470 x 896 ) / 210560

GCD(470, 896) = 421120 / 210560

GCD(470, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 470, 896, 97, 288 is 1

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1. What is the GCD of 470, 896, 97, 288?

GCD of 470, 896, 97, 288 is 1

2. Where do I get the detailed procedure to find GCD of 470, 896, 97, 288?

You can find a detailed procedure to find GCD of 470, 896, 97, 288 on our page.

3. How to find GCD of 470, 896, 97, 288 on a calculator?

You can find the GCD of 470, 896, 97, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.