GCD of 960, 492, 468, 470 Calculator

Given Input numbers are 960, 492, 468, 470

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 960, 492, 468, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 492, 468, 470 is 2.

Therefore, GCD of numbers 960, 492, 468, 470 is 2

Given Input Data is 960, 492, 468, 470

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 470 is 2 x 5 x 47

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(960, 492) = 39360

GCD(960, 492) = ( 960 x 492 ) / 39360

GCD(960, 492) = 472320 / 39360

GCD(960, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 468

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

LCM(12, 468) = 468

GCD(12, 468) = ( 12 x 468 ) / 468

GCD(12, 468) = 5616 / 468

GCD(12, 468) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 470

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

LCM(12, 470) = 2820

GCD(12, 470) = ( 12 x 470 ) / 2820

GCD(12, 470) = 5640 / 2820

GCD(12, 470) = 2

GCD of 960, 492, 468, 470 is 2

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1. What is the GCD of 960, 492, 468, 470?

GCD of 960, 492, 468, 470 is 2

2. Where do I get the detailed procedure to find GCD of 960, 492, 468, 470?

You can find a detailed procedure to find GCD of 960, 492, 468, 470 on our page.

3. How to find GCD of 960, 492, 468, 470 on a calculator?

You can find the GCD of 960, 492, 468, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.