GCD of 561, 456, 896 Calculator

Given Input numbers are 561, 456, 896

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 561, 456, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 456, 896 is 1.

Therefore, GCD of numbers 561, 456, 896 is 1

Given Input Data is 561, 456, 896

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(561, 456) = 85272

GCD(561, 456) = ( 561 x 456 ) / 85272

GCD(561, 456) = 255816 / 85272

GCD(561, 456) = 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

GCD of 561, 456, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 729, 712
• GCD of 611, 156, 296
• GCD of 182, 827, 849
• GCD of 422, 182, 537
• GCD of 549, 365, 505

1. What is the GCD of 561, 456, 896?

GCD of 561, 456, 896 is 1

2. Where do I get the detailed procedure to find GCD of 561, 456, 896?

You can find a detailed procedure to find GCD of 561, 456, 896 on our page.

3. How to find GCD of 561, 456, 896 on a calculator?

You can find the GCD of 561, 456, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.