GCD of 471, 963, 897 Calculator

Given Input numbers are 471, 963, 897

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 471, 963, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 963, 897 is 3.

Therefore, GCD of numbers 471, 963, 897 is 3

Given Input Data is 471, 963, 897

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 897 is 3 x 13 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 963) = 151191

GCD(471, 963) = ( 471 x 963 ) / 151191

GCD(471, 963) = 453573 / 151191

GCD(471, 963) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 897

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

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

GCD(3, 897) = 2691 / 897

GCD(3, 897) = 3

GCD of 471, 963, 897 is 3

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1. What is the GCD of 471, 963, 897?

GCD of 471, 963, 897 is 3

2. Where do I get the detailed procedure to find GCD of 471, 963, 897?

You can find a detailed procedure to find GCD of 471, 963, 897 on our page.

3. How to find GCD of 471, 963, 897 on a calculator?

You can find the GCD of 471, 963, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.