GCD of 306, 654, 56, 908 Calculator

Given Input numbers are 306, 654, 56, 908

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 306, 654, 56, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 654, 56, 908 is 2.

Therefore, GCD of numbers 306, 654, 56, 908 is 2

Given Input Data is 306, 654, 56, 908

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 908 is 2 x 2 x 227

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(306, 654) = 33354

GCD(306, 654) = ( 306 x 654 ) / 33354

GCD(306, 654) = 200124 / 33354

GCD(306, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 908

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

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

GCD(2, 908) = 1816 / 908

GCD(2, 908) = 2

GCD of 306, 654, 56, 908 is 2

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• GCD of 503, 913, 68, 454

1. What is the GCD of 306, 654, 56, 908?

GCD of 306, 654, 56, 908 is 2

2. Where do I get the detailed procedure to find GCD of 306, 654, 56, 908?

You can find a detailed procedure to find GCD of 306, 654, 56, 908 on our page.

3. How to find GCD of 306, 654, 56, 908 on a calculator?

You can find the GCD of 306, 654, 56, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.