GCD of 792, 305, 36, 144 Calculator

Given Input numbers are 792, 305, 36, 144

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 792, 305, 36, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 305, 36, 144 is 1.

Therefore, GCD of numbers 792, 305, 36, 144 is 1

Given Input Data is 792, 305, 36, 144

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 305 is 5 x 61

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(792, 305) = 241560

GCD(792, 305) = ( 792 x 305 ) / 241560

GCD(792, 305) = 241560 / 241560

GCD(792, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 792, 305, 36, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 892, 10, 236
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• GCD of 986, 179, 89, 592

1. What is the GCD of 792, 305, 36, 144?

GCD of 792, 305, 36, 144 is 1

2. Where do I get the detailed procedure to find GCD of 792, 305, 36, 144?

You can find a detailed procedure to find GCD of 792, 305, 36, 144 on our page.

3. How to find GCD of 792, 305, 36, 144 on a calculator?

You can find the GCD of 792, 305, 36, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.