GCD of 312, 305, 11, 775 Calculator

Given Input numbers are 312, 305, 11, 775

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 312, 305, 11, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 305, 11, 775 is 1.

Therefore, GCD of numbers 312, 305, 11, 775 is 1

Given Input Data is 312, 305, 11, 775

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 305 is 5 x 61

Prime Factorization of 11 is 11

Prime Factorization of 775 is 5 x 5 x 31

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(312, 305) = 95160

GCD(312, 305) = ( 312 x 305 ) / 95160

GCD(312, 305) = 95160 / 95160

GCD(312, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 312, 305, 11, 775 is 1

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• GCD of 568, 704, 74, 361
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1. What is the GCD of 312, 305, 11, 775?

GCD of 312, 305, 11, 775 is 1

2. Where do I get the detailed procedure to find GCD of 312, 305, 11, 775?

You can find a detailed procedure to find GCD of 312, 305, 11, 775 on our page.

3. How to find GCD of 312, 305, 11, 775 on a calculator?

You can find the GCD of 312, 305, 11, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.