GCD of 261, 687, 896, 963 Calculator

Given Input numbers are 261, 687, 896, 963

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 963

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

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 261, 687, 896, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 687, 896, 963 is 1.

Therefore, GCD of numbers 261, 687, 896, 963 is 1

Given Input Data is 261, 687, 896, 963

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 687 is 3 x 229

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

Prime Factorization of 963 is 3 x 3 x 107

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(261, 687) = 59769

GCD(261, 687) = ( 261 x 687 ) / 59769

GCD(261, 687) = 179307 / 59769

GCD(261, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 261, 687, 896, 963 is 1

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1. What is the GCD of 261, 687, 896, 963?

GCD of 261, 687, 896, 963 is 1

2. Where do I get the detailed procedure to find GCD of 261, 687, 896, 963?

You can find a detailed procedure to find GCD of 261, 687, 896, 963 on our page.

3. How to find GCD of 261, 687, 896, 963 on a calculator?

You can find the GCD of 261, 687, 896, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.