GCD of 708, 480, 66, 344 Calculator

Given Input numbers are 708, 480, 66, 344

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 708, 480, 66, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 480, 66, 344 is 2.

Therefore, GCD of numbers 708, 480, 66, 344 is 2

Given Input Data is 708, 480, 66, 344

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(708, 480) = 28320

GCD(708, 480) = ( 708 x 480 ) / 28320

GCD(708, 480) = 339840 / 28320

GCD(708, 480) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 66

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

LCM(12, 66) = 132

GCD(12, 66) = ( 12 x 66 ) / 132

GCD(12, 66) = 792 / 132

GCD(12, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 344

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

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

GCD(6, 344) = 2064 / 1032

GCD(6, 344) = 2

GCD of 708, 480, 66, 344 is 2

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1. What is the GCD of 708, 480, 66, 344?

GCD of 708, 480, 66, 344 is 2

2. Where do I get the detailed procedure to find GCD of 708, 480, 66, 344?

You can find a detailed procedure to find GCD of 708, 480, 66, 344 on our page.

3. How to find GCD of 708, 480, 66, 344 on a calculator?

You can find the GCD of 708, 480, 66, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.