GCD of 117, 954, 612 Calculator

Given Input numbers are 117, 954, 612

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 117, 954, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 954, 612 is 9.

Therefore, GCD of numbers 117, 954, 612 is 9

Given Input Data is 117, 954, 612

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

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(117, 954) = 12402

GCD(117, 954) = ( 117 x 954 ) / 12402

GCD(117, 954) = 111618 / 12402

GCD(117, 954) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 612

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

LCM(9, 612) = 612

GCD(9, 612) = ( 9 x 612 ) / 612

GCD(9, 612) = 5508 / 612

GCD(9, 612) = 9

GCD of 117, 954, 612 is 9

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• GCD of 592, 781, 120
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1. What is the GCD of 117, 954, 612?

GCD of 117, 954, 612 is 9

2. Where do I get the detailed procedure to find GCD of 117, 954, 612?

You can find a detailed procedure to find GCD of 117, 954, 612 on our page.

3. How to find GCD of 117, 954, 612 on a calculator?

You can find the GCD of 117, 954, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.