GCD of 296, 546, 18, 186 Calculator

Given Input numbers are 296, 546, 18, 186

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 186

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

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

Greatest Common Divisior

We found the divisors of 296, 546, 18, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 546, 18, 186 is 2.

Therefore, GCD of numbers 296, 546, 18, 186 is 2

Given Input Data is 296, 546, 18, 186

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 186 is 2 x 3 x 31

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(296, 546) = 80808

GCD(296, 546) = ( 296 x 546 ) / 80808

GCD(296, 546) = 161616 / 80808

GCD(296, 546) = 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 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

GCD of 296, 546, 18, 186 is 2

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• GCD of 913, 913, 12, 331
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1. What is the GCD of 296, 546, 18, 186?

GCD of 296, 546, 18, 186 is 2

2. Where do I get the detailed procedure to find GCD of 296, 546, 18, 186?

You can find a detailed procedure to find GCD of 296, 546, 18, 186 on our page.

3. How to find GCD of 296, 546, 18, 186 on a calculator?

You can find the GCD of 296, 546, 18, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.