GCD of 135, 849, 733, 842 Calculator

Given Input numbers are 135, 849, 733, 842

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 135, 849, 733, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 849, 733, 842 is 1.

Therefore, GCD of numbers 135, 849, 733, 842 is 1

Given Input Data is 135, 849, 733, 842

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 849 is 3 x 283

Prime Factorization of 733 is 733

Prime Factorization of 842 is 2 x 421

The above numbers do not have any common prime factor. So GCD is 1

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(135, 849) = 38205

GCD(135, 849) = ( 135 x 849 ) / 38205

GCD(135, 849) = 114615 / 38205

GCD(135, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 733

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

LCM(3, 733) = 2199

GCD(3, 733) = ( 3 x 733 ) / 2199

GCD(3, 733) = 2199 / 2199

GCD(3, 733) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 135, 849, 733, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 611, 366, 409
• GCD of 302, 435, 867, 957
• GCD of 137, 265, 233, 743
• GCD of 226, 408, 538, 672
• GCD of 642, 422, 840, 677

1. What is the GCD of 135, 849, 733, 842?

GCD of 135, 849, 733, 842 is 1

2. Where do I get the detailed procedure to find GCD of 135, 849, 733, 842?

You can find a detailed procedure to find GCD of 135, 849, 733, 842 on our page.

3. How to find GCD of 135, 849, 733, 842 on a calculator?

You can find the GCD of 135, 849, 733, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.