GCD of 861, 451, 216, 947 Calculator

Given Input numbers are 861, 451, 216, 947

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 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 861, 451, 216, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 451, 216, 947 is 1.

Therefore, GCD of numbers 861, 451, 216, 947 is 1

Given Input Data is 861, 451, 216, 947

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 451 is 11 x 41

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 947 is 947

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, 451) = 9471

GCD(861, 451) = ( 861 x 451 ) / 9471

GCD(861, 451) = 388311 / 9471

GCD(861, 451) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 216

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

LCM(41, 216) = 8856

GCD(41, 216) = ( 41 x 216 ) / 8856

GCD(41, 216) = 8856 / 8856

GCD(41, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 861, 451, 216, 947 is 1

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1. What is the GCD of 861, 451, 216, 947?

GCD of 861, 451, 216, 947 is 1

2. Where do I get the detailed procedure to find GCD of 861, 451, 216, 947?

You can find a detailed procedure to find GCD of 861, 451, 216, 947 on our page.

3. How to find GCD of 861, 451, 216, 947 on a calculator?

You can find the GCD of 861, 451, 216, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.