GCD of 678, 442, 84, 824 Calculator

Given Input numbers are 678, 442, 84, 824

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 678, 442, 84, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 442, 84, 824 is 2.

Therefore, GCD of numbers 678, 442, 84, 824 is 2

Given Input Data is 678, 442, 84, 824

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 442 is 2 x 13 x 17

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 442) = 149838

GCD(678, 442) = ( 678 x 442 ) / 149838

GCD(678, 442) = 299676 / 149838

GCD(678, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 678, 442, 84, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 942, 51, 317
• GCD of 736, 165, 18, 535
• GCD of 614, 347, 67, 735
• GCD of 267, 764, 56, 195
• GCD of 724, 324, 21, 838

1. What is the GCD of 678, 442, 84, 824?

GCD of 678, 442, 84, 824 is 2

2. Where do I get the detailed procedure to find GCD of 678, 442, 84, 824?

You can find a detailed procedure to find GCD of 678, 442, 84, 824 on our page.

3. How to find GCD of 678, 442, 84, 824 on a calculator?

You can find the GCD of 678, 442, 84, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.