GCD of 471, 715, 728, 896 Calculator

Given Input numbers are 471, 715, 728, 896

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

Greatest Common Divisior

We found the divisors of 471, 715, 728, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 715, 728, 896 is 1.

Therefore, GCD of numbers 471, 715, 728, 896 is 1

Given Input Data is 471, 715, 728, 896

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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

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(471, 715) = 336765

GCD(471, 715) = ( 471 x 715 ) / 336765

GCD(471, 715) = 336765 / 336765

GCD(471, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 471, 715, 728, 896 is 1

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1. What is the GCD of 471, 715, 728, 896?

GCD of 471, 715, 728, 896 is 1

2. Where do I get the detailed procedure to find GCD of 471, 715, 728, 896?

You can find a detailed procedure to find GCD of 471, 715, 728, 896 on our page.

3. How to find GCD of 471, 715, 728, 896 on a calculator?

You can find the GCD of 471, 715, 728, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.