GCD of 678, 306, 28, 702 Calculator

Given Input numbers are 678, 306, 28, 702

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 678, 306, 28, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 306, 28, 702 is 2.

Therefore, GCD of numbers 678, 306, 28, 702 is 2

Given Input Data is 678, 306, 28, 702

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

Prime Factorization of 678 is 2 x 3 x 113

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(678, 306) = 34578

GCD(678, 306) = ( 678 x 306 ) / 34578

GCD(678, 306) = 207468 / 34578

GCD(678, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 678, 306, 28, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 484, 61, 658
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• GCD of 842, 230, 82, 180
• GCD of 136, 199, 28, 111
• GCD of 185, 417, 54, 620

1. What is the GCD of 678, 306, 28, 702?

GCD of 678, 306, 28, 702 is 2

2. Where do I get the detailed procedure to find GCD of 678, 306, 28, 702?

You can find a detailed procedure to find GCD of 678, 306, 28, 702 on our page.

3. How to find GCD of 678, 306, 28, 702 on a calculator?

You can find the GCD of 678, 306, 28, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.