GCD of 393, 616, 34, 120 Calculator

Given Input numbers are 393, 616, 34, 120

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 393, 616, 34, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 616, 34, 120 is 1.

Therefore, GCD of numbers 393, 616, 34, 120 is 1

Given Input Data is 393, 616, 34, 120

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 34 is 2 x 17

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(393, 616) = 242088

GCD(393, 616) = ( 393 x 616 ) / 242088

GCD(393, 616) = 242088 / 242088

GCD(393, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 393, 616, 34, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 475, 60, 173
• GCD of 157, 725, 22, 228
• GCD of 836, 109, 94, 179
• GCD of 442, 202, 41, 570
• GCD of 599, 961, 16, 831

1. What is the GCD of 393, 616, 34, 120?

GCD of 393, 616, 34, 120 is 1

2. Where do I get the detailed procedure to find GCD of 393, 616, 34, 120?

You can find a detailed procedure to find GCD of 393, 616, 34, 120 on our page.

3. How to find GCD of 393, 616, 34, 120 on a calculator?

You can find the GCD of 393, 616, 34, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.