GCD of 642, 480, 792, 656 Calculator

Given Input numbers are 642, 480, 792, 656

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

Greatest Common Divisior

We found the divisors of 642, 480, 792, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 480, 792, 656 is 2.

Therefore, GCD of numbers 642, 480, 792, 656 is 2

Given Input Data is 642, 480, 792, 656

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

Prime Factorization of 642 is 2 x 3 x 107

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

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(642, 480) = 51360

GCD(642, 480) = ( 642 x 480 ) / 51360

GCD(642, 480) = 308160 / 51360

GCD(642, 480) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 792

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

LCM(6, 792) = 792

GCD(6, 792) = ( 6 x 792 ) / 792

GCD(6, 792) = 4752 / 792

GCD(6, 792) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 656

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

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

GCD(6, 656) = 3936 / 1968

GCD(6, 656) = 2

GCD of 642, 480, 792, 656 is 2

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1. What is the GCD of 642, 480, 792, 656?

GCD of 642, 480, 792, 656 is 2

2. Where do I get the detailed procedure to find GCD of 642, 480, 792, 656?

You can find a detailed procedure to find GCD of 642, 480, 792, 656 on our page.

3. How to find GCD of 642, 480, 792, 656 on a calculator?

You can find the GCD of 642, 480, 792, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.