GCD of 706, 186, 18, 984 Calculator

Given Input numbers are 706, 186, 18, 984

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 706, 186, 18, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 186, 18, 984 is 2.

Therefore, GCD of numbers 706, 186, 18, 984 is 2

Given Input Data is 706, 186, 18, 984

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 18 is 2 x 3 x 3

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

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(706, 186) = 65658

GCD(706, 186) = ( 706 x 186 ) / 65658

GCD(706, 186) = 131316 / 65658

GCD(706, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

GCD of 706, 186, 18, 984 is 2

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• GCD of 114, 667, 97, 903
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• GCD of 520, 726, 44, 729

1. What is the GCD of 706, 186, 18, 984?

GCD of 706, 186, 18, 984 is 2

2. Where do I get the detailed procedure to find GCD of 706, 186, 18, 984?

You can find a detailed procedure to find GCD of 706, 186, 18, 984 on our page.

3. How to find GCD of 706, 186, 18, 984 on a calculator?

You can find the GCD of 706, 186, 18, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.