GCD of 954, 216, 66, 813 Calculator

Given Input numbers are 954, 216, 66, 813

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 954, 216, 66, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 216, 66, 813 is 3.

Therefore, GCD of numbers 954, 216, 66, 813 is 3

Given Input Data is 954, 216, 66, 813

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 813 is 3 x 271

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(954, 216) = 11448

GCD(954, 216) = ( 954 x 216 ) / 11448

GCD(954, 216) = 206064 / 11448

GCD(954, 216) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 66

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

LCM(18, 66) = 198

GCD(18, 66) = ( 18 x 66 ) / 198

GCD(18, 66) = 1188 / 198

GCD(18, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 813

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

LCM(6, 813) = 1626

GCD(6, 813) = ( 6 x 813 ) / 1626

GCD(6, 813) = 4878 / 1626

GCD(6, 813) = 3

GCD of 954, 216, 66, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 894, 36, 441
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• GCD of 151, 229, 58, 733

1. What is the GCD of 954, 216, 66, 813?

GCD of 954, 216, 66, 813 is 3

2. Where do I get the detailed procedure to find GCD of 954, 216, 66, 813?

You can find a detailed procedure to find GCD of 954, 216, 66, 813 on our page.

3. How to find GCD of 954, 216, 66, 813 on a calculator?

You can find the GCD of 954, 216, 66, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.