GCD of 775, 413, 312, 556 Calculator

Given Input numbers are 775, 413, 312, 556

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

Divisors of 775

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

1, 5, 25, 31, 155, 775

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 775, 413, 312, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 413, 312, 556 is 1.

Therefore, GCD of numbers 775, 413, 312, 556 is 1

Given Input Data is 775, 413, 312, 556

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 413 is 7 x 59

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

Prime Factorization of 556 is 2 x 2 x 139

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(775, 413) = 320075

GCD(775, 413) = ( 775 x 413 ) / 320075

GCD(775, 413) = 320075 / 320075

GCD(775, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 775, 413, 312, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 288, 210, 533
• GCD of 475, 244, 172, 275
• GCD of 227, 418, 521, 467
• GCD of 766, 291, 893, 698
• GCD of 759, 615, 134, 523

1. What is the GCD of 775, 413, 312, 556?

GCD of 775, 413, 312, 556 is 1

2. Where do I get the detailed procedure to find GCD of 775, 413, 312, 556?

You can find a detailed procedure to find GCD of 775, 413, 312, 556 on our page.

3. How to find GCD of 775, 413, 312, 556 on a calculator?

You can find the GCD of 775, 413, 312, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.