GCD of 30, 794, 131, 960 Calculator

Given Input numbers are 30, 794, 131, 960

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 30, 794, 131, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 794, 131, 960 is 1.

Therefore, GCD of numbers 30, 794, 131, 960 is 1

Given Input Data is 30, 794, 131, 960

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 794 is 2 x 397

Prime Factorization of 131 is 131

Prime Factorization of 960 is 2 x 2 x 2 x 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(30, 794) = 11910

GCD(30, 794) = ( 30 x 794 ) / 11910

GCD(30, 794) = 23820 / 11910

GCD(30, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 30, 794, 131, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 760, 560, 316
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• GCD of 74, 211, 204, 418

1. What is the GCD of 30, 794, 131, 960?

GCD of 30, 794, 131, 960 is 1

2. Where do I get the detailed procedure to find GCD of 30, 794, 131, 960?

You can find a detailed procedure to find GCD of 30, 794, 131, 960 on our page.

3. How to find GCD of 30, 794, 131, 960 on a calculator?

You can find the GCD of 30, 794, 131, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.