GCD of 96, 510, 934, 313 Calculator

Given Input numbers are 96, 510, 934, 313

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 96, 510, 934, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 510, 934, 313 is 1.

Therefore, GCD of numbers 96, 510, 934, 313 is 1

Given Input Data is 96, 510, 934, 313

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 934 is 2 x 467

Prime Factorization of 313 is 313

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(96, 510) = 8160

GCD(96, 510) = ( 96 x 510 ) / 8160

GCD(96, 510) = 48960 / 8160

GCD(96, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 934

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

LCM(6, 934) = 2802

GCD(6, 934) = ( 6 x 934 ) / 2802

GCD(6, 934) = 5604 / 2802

GCD(6, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 96, 510, 934, 313 is 1

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• GCD of 38, 415, 567, 847
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• GCD of 14, 421, 558, 198

1. What is the GCD of 96, 510, 934, 313?

GCD of 96, 510, 934, 313 is 1

2. Where do I get the detailed procedure to find GCD of 96, 510, 934, 313?

You can find a detailed procedure to find GCD of 96, 510, 934, 313 on our page.

3. How to find GCD of 96, 510, 934, 313 on a calculator?

You can find the GCD of 96, 510, 934, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.