GCD of 861, 196, 823, 884 Calculator

Given Input numbers are 861, 196, 823, 884

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 861, 196, 823, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 196, 823, 884 is 1.

Therefore, GCD of numbers 861, 196, 823, 884 is 1

Given Input Data is 861, 196, 823, 884

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 196 is 2 x 2 x 7 x 7

Prime Factorization of 823 is 823

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 196) = 24108

GCD(861, 196) = ( 861 x 196 ) / 24108

GCD(861, 196) = 168756 / 24108

GCD(861, 196) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 823

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

LCM(7, 823) = 5761

GCD(7, 823) = ( 7 x 823 ) / 5761

GCD(7, 823) = 5761 / 5761

GCD(7, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 861, 196, 823, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 645, 902, 771
• GCD of 356, 563, 106, 271
• GCD of 470, 513, 976, 513
• GCD of 826, 437, 460, 355
• GCD of 509, 519, 912, 727

1. What is the GCD of 861, 196, 823, 884?

GCD of 861, 196, 823, 884 is 1

2. Where do I get the detailed procedure to find GCD of 861, 196, 823, 884?

You can find a detailed procedure to find GCD of 861, 196, 823, 884 on our page.

3. How to find GCD of 861, 196, 823, 884 on a calculator?

You can find the GCD of 861, 196, 823, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.