GCD of 846, 800, 947, 468 Calculator

Given Input numbers are 846, 800, 947, 468

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 947

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

1, 947

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 846, 800, 947, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 800, 947, 468 is 1.

Therefore, GCD of numbers 846, 800, 947, 468 is 1

Given Input Data is 846, 800, 947, 468

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 947 is 947

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(846, 800) = 338400

GCD(846, 800) = ( 846 x 800 ) / 338400

GCD(846, 800) = 676800 / 338400

GCD(846, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 846, 800, 947, 468 is 1

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1. What is the GCD of 846, 800, 947, 468?

GCD of 846, 800, 947, 468 is 1

2. Where do I get the detailed procedure to find GCD of 846, 800, 947, 468?

You can find a detailed procedure to find GCD of 846, 800, 947, 468 on our page.

3. How to find GCD of 846, 800, 947, 468 on a calculator?

You can find the GCD of 846, 800, 947, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.