GCD of 42, 648, 279, 656 Calculator

Given Input numbers are 42, 648, 279, 656

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 42, 648, 279, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 648, 279, 656 is 1.

Therefore, GCD of numbers 42, 648, 279, 656 is 1

Given Input Data is 42, 648, 279, 656

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 279 is 3 x 3 x 31

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

The above numbers do not have any common prime factor. So GCD is 1

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(42, 648) = 4536

GCD(42, 648) = ( 42 x 648 ) / 4536

GCD(42, 648) = 27216 / 4536

GCD(42, 648) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 279

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

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

GCD(6, 279) = 1674 / 558

GCD(6, 279) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 656

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

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

GCD(3, 656) = 1968 / 1968

GCD(3, 656) = 1

GCD of 42, 648, 279, 656 is 1

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1. What is the GCD of 42, 648, 279, 656?

GCD of 42, 648, 279, 656 is 1

2. Where do I get the detailed procedure to find GCD of 42, 648, 279, 656?

You can find a detailed procedure to find GCD of 42, 648, 279, 656 on our page.

3. How to find GCD of 42, 648, 279, 656 on a calculator?

You can find the GCD of 42, 648, 279, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.