GCD of 192, 267, 153 Calculator

Given Input numbers are 192, 267, 153

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 192, 267, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 267, 153 is 3.

Therefore, GCD of numbers 192, 267, 153 is 3

Given Input Data is 192, 267, 153

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 267 is 3 x 89

Prime Factorization of 153 is 3 x 3 x 17

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(192, 267) = 17088

GCD(192, 267) = ( 192 x 267 ) / 17088

GCD(192, 267) = 51264 / 17088

GCD(192, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 153

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

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

GCD(3, 153) = 459 / 153

GCD(3, 153) = 3

GCD of 192, 267, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 315, 880
• GCD of 148, 860, 818
• GCD of 193, 490, 277
• GCD of 386, 653, 183
• GCD of 681, 573, 377

1. What is the GCD of 192, 267, 153?

GCD of 192, 267, 153 is 3

2. Where do I get the detailed procedure to find GCD of 192, 267, 153?

You can find a detailed procedure to find GCD of 192, 267, 153 on our page.

3. How to find GCD of 192, 267, 153 on a calculator?

You can find the GCD of 192, 267, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.