GCD of 330, 134, 412, 964 Calculator

Given Input numbers are 330, 134, 412, 964

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 330, 134, 412, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 134, 412, 964 is 2.

Therefore, GCD of numbers 330, 134, 412, 964 is 2

Given Input Data is 330, 134, 412, 964

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 134 is 2 x 67

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 964 is 2 x 2 x 241

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, 134) = 22110

GCD(330, 134) = ( 330 x 134 ) / 22110

GCD(330, 134) = 44220 / 22110

GCD(330, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 330, 134, 412, 964 is 2

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1. What is the GCD of 330, 134, 412, 964?

GCD of 330, 134, 412, 964 is 2

2. Where do I get the detailed procedure to find GCD of 330, 134, 412, 964?

You can find a detailed procedure to find GCD of 330, 134, 412, 964 on our page.

3. How to find GCD of 330, 134, 412, 964 on a calculator?

You can find the GCD of 330, 134, 412, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.