GCD of 120, 313, 46, 308 Calculator

Given Input numbers are 120, 313, 46, 308

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

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 120, 313, 46, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 313, 46, 308 is 1.

Therefore, GCD of numbers 120, 313, 46, 308 is 1

Given Input Data is 120, 313, 46, 308

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

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

Prime Factorization of 313 is 313

Prime Factorization of 46 is 2 x 23

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(120, 313) = 37560

GCD(120, 313) = ( 120 x 313 ) / 37560

GCD(120, 313) = 37560 / 37560

GCD(120, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 120, 313, 46, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 886, 69, 673
• GCD of 102, 778, 24, 722
• GCD of 175, 519, 48, 951
• GCD of 852, 428, 53, 867
• GCD of 377, 371, 84, 685

1. What is the GCD of 120, 313, 46, 308?

GCD of 120, 313, 46, 308 is 1

2. Where do I get the detailed procedure to find GCD of 120, 313, 46, 308?

You can find a detailed procedure to find GCD of 120, 313, 46, 308 on our page.

3. How to find GCD of 120, 313, 46, 308 on a calculator?

You can find the GCD of 120, 313, 46, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.