GCD of 656, 670, 384 Calculator

Given Input numbers are 656, 670, 384

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 656, 670, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 670, 384 is 2.

Therefore, GCD of numbers 656, 670, 384 is 2

Given Input Data is 656, 670, 384

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(656, 670) = 219760

GCD(656, 670) = ( 656 x 670 ) / 219760

GCD(656, 670) = 439520 / 219760

GCD(656, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 656, 670, 384 is 2

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1. What is the GCD of 656, 670, 384?

GCD of 656, 670, 384 is 2

2. Where do I get the detailed procedure to find GCD of 656, 670, 384?

You can find a detailed procedure to find GCD of 656, 670, 384 on our page.

3. How to find GCD of 656, 670, 384 on a calculator?

You can find the GCD of 656, 670, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.