GCD of 861, 676, 18, 896 Calculator

Given Input numbers are 861, 676, 18, 896

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 861, 676, 18, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 676, 18, 896 is 1.

Therefore, GCD of numbers 861, 676, 18, 896 is 1

Given Input Data is 861, 676, 18, 896

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 18 is 2 x 3 x 3

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(861, 676) = 582036

GCD(861, 676) = ( 861 x 676 ) / 582036

GCD(861, 676) = 582036 / 582036

GCD(861, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 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 861, 676, 18, 896 is 1

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1. What is the GCD of 861, 676, 18, 896?

GCD of 861, 676, 18, 896 is 1

2. Where do I get the detailed procedure to find GCD of 861, 676, 18, 896?

You can find a detailed procedure to find GCD of 861, 676, 18, 896 on our page.

3. How to find GCD of 861, 676, 18, 896 on a calculator?

You can find the GCD of 861, 676, 18, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.