GCD of 421, 896, 96, 969 Calculator

Given Input numbers are 421, 896, 96, 969

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 421, 896, 96, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 896, 96, 969 is 1.

Therefore, GCD of numbers 421, 896, 96, 969 is 1

Given Input Data is 421, 896, 96, 969

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

Prime Factorization of 421 is 421

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

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

Prime Factorization of 969 is 3 x 17 x 19

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(421, 896) = 377216

GCD(421, 896) = ( 421 x 896 ) / 377216

GCD(421, 896) = 377216 / 377216

GCD(421, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 421, 896, 96, 969 is 1

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1. What is the GCD of 421, 896, 96, 969?

GCD of 421, 896, 96, 969 is 1

2. Where do I get the detailed procedure to find GCD of 421, 896, 96, 969?

You can find a detailed procedure to find GCD of 421, 896, 96, 969 on our page.

3. How to find GCD of 421, 896, 96, 969 on a calculator?

You can find the GCD of 421, 896, 96, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.