GCD of 960, 412, 452 Calculator

Given Input numbers are 960, 412, 452

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 960, 412, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 412, 452 is 4.

Therefore, GCD of numbers 960, 412, 452 is 4

Given Input Data is 960, 412, 452

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 452 is 2 x 2 x 113

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(960, 412) = 98880

GCD(960, 412) = ( 960 x 412 ) / 98880

GCD(960, 412) = 395520 / 98880

GCD(960, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 452

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

LCM(4, 452) = 452

GCD(4, 452) = ( 4 x 452 ) / 452

GCD(4, 452) = 1808 / 452

GCD(4, 452) = 4

GCD of 960, 412, 452 is 4

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1. What is the GCD of 960, 412, 452?

GCD of 960, 412, 452 is 4

2. Where do I get the detailed procedure to find GCD of 960, 412, 452?

You can find a detailed procedure to find GCD of 960, 412, 452 on our page.

3. How to find GCD of 960, 412, 452 on a calculator?

You can find the GCD of 960, 412, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.