GCD of 675, 306, 96, 183 Calculator

Given Input numbers are 675, 306, 96, 183

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 675, 306, 96, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 306, 96, 183 is 3.

Therefore, GCD of numbers 675, 306, 96, 183 is 3

Given Input Data is 675, 306, 96, 183

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 183 is 3 x 61

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(675, 306) = 22950

GCD(675, 306) = ( 675 x 306 ) / 22950

GCD(675, 306) = 206550 / 22950

GCD(675, 306) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 96

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

LCM(9, 96) = 288

GCD(9, 96) = ( 9 x 96 ) / 288

GCD(9, 96) = 864 / 288

GCD(9, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 183

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

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

GCD(3, 183) = 549 / 183

GCD(3, 183) = 3

GCD of 675, 306, 96, 183 is 3

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• GCD of 623, 957, 87, 659
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• GCD of 156, 509, 77, 629

1. What is the GCD of 675, 306, 96, 183?

GCD of 675, 306, 96, 183 is 3

2. Where do I get the detailed procedure to find GCD of 675, 306, 96, 183?

You can find a detailed procedure to find GCD of 675, 306, 96, 183 on our page.

3. How to find GCD of 675, 306, 96, 183 on a calculator?

You can find the GCD of 675, 306, 96, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.