GCD of 792, 411, 14, 120 Calculator

Given Input numbers are 792, 411, 14, 120

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 792, 411, 14, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 411, 14, 120 is 1.

Therefore, GCD of numbers 792, 411, 14, 120 is 1

Given Input Data is 792, 411, 14, 120

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 411 is 3 x 137

Prime Factorization of 14 is 2 x 7

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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, 411) = 108504

GCD(792, 411) = ( 792 x 411 ) / 108504

GCD(792, 411) = 325512 / 108504

GCD(792, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 792, 411, 14, 120 is 1

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• GCD of 366, 711, 28, 905
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• GCD of 690, 264, 44, 859

1. What is the GCD of 792, 411, 14, 120?

GCD of 792, 411, 14, 120 is 1

2. Where do I get the detailed procedure to find GCD of 792, 411, 14, 120?

You can find a detailed procedure to find GCD of 792, 411, 14, 120 on our page.

3. How to find GCD of 792, 411, 14, 120 on a calculator?

You can find the GCD of 792, 411, 14, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.