GCD of 330, 686, 954 Calculator

Given Input numbers are 330, 686, 954

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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

Greatest Common Divisior

We found the divisors of 330, 686, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 686, 954 is 2.

Therefore, GCD of numbers 330, 686, 954 is 2

Given Input Data is 330, 686, 954

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 686 is 2 x 7 x 7 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(330, 686) = 113190

GCD(330, 686) = ( 330 x 686 ) / 113190

GCD(330, 686) = 226380 / 113190

GCD(330, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 330, 686, 954 is 2

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• GCD of 764, 719, 925
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1. What is the GCD of 330, 686, 954?

GCD of 330, 686, 954 is 2

2. Where do I get the detailed procedure to find GCD of 330, 686, 954?

You can find a detailed procedure to find GCD of 330, 686, 954 on our page.

3. How to find GCD of 330, 686, 954 on a calculator?

You can find the GCD of 330, 686, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.