GCD of 984, 706, 238, 636 Calculator

Given Input numbers are 984, 706, 238, 636

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

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 984, 706, 238, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 706, 238, 636 is 2.

Therefore, GCD of numbers 984, 706, 238, 636 is 2

Given Input Data is 984, 706, 238, 636

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

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(984, 706) = 347352

GCD(984, 706) = ( 984 x 706 ) / 347352

GCD(984, 706) = 694704 / 347352

GCD(984, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 984, 706, 238, 636 is 2

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1. What is the GCD of 984, 706, 238, 636?

GCD of 984, 706, 238, 636 is 2

2. Where do I get the detailed procedure to find GCD of 984, 706, 238, 636?

You can find a detailed procedure to find GCD of 984, 706, 238, 636 on our page.

3. How to find GCD of 984, 706, 238, 636 on a calculator?

You can find the GCD of 984, 706, 238, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.