GCD of 284, 984, 168, 714 Calculator

Given Input numbers are 284, 984, 168, 714

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 284, 984, 168, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 984, 168, 714 is 2.

Therefore, GCD of numbers 284, 984, 168, 714 is 2

Given Input Data is 284, 984, 168, 714

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(284, 984) = 69864

GCD(284, 984) = ( 284 x 984 ) / 69864

GCD(284, 984) = 279456 / 69864

GCD(284, 984) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 168

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

LCM(4, 168) = 168

GCD(4, 168) = ( 4 x 168 ) / 168

GCD(4, 168) = 672 / 168

GCD(4, 168) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 714

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

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

GCD(4, 714) = 2856 / 1428

GCD(4, 714) = 2

GCD of 284, 984, 168, 714 is 2

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1. What is the GCD of 284, 984, 168, 714?

GCD of 284, 984, 168, 714 is 2

2. Where do I get the detailed procedure to find GCD of 284, 984, 168, 714?

You can find a detailed procedure to find GCD of 284, 984, 168, 714 on our page.

3. How to find GCD of 284, 984, 168, 714 on a calculator?

You can find the GCD of 284, 984, 168, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.