GCD of 78, 312, 163, 811 Calculator

Given Input numbers are 78, 312, 163, 811

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 811

List of positive integer divisors of 811 that divides 811 without a remainder.

1, 811

Greatest Common Divisior

We found the divisors of 78, 312, 163, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 312, 163, 811 is 1.

Therefore, GCD of numbers 78, 312, 163, 811 is 1

Given Input Data is 78, 312, 163, 811

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

Prime Factorization of 78 is 2 x 3 x 13

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

Prime Factorization of 163 is 163

Prime Factorization of 811 is 811

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(78, 312) = 312

GCD(78, 312) = ( 78 x 312 ) / 312

GCD(78, 312) = 24336 / 312

GCD(78, 312) = 78

Step2:

Here we consider the GCD from the above i.e. 78 as first number and the next as 163

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

LCM(78, 163) = 12714

GCD(78, 163) = ( 78 x 163 ) / 12714

GCD(78, 163) = 12714 / 12714

GCD(78, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 811

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

LCM(1, 811) = 811

GCD(1, 811) = ( 1 x 811 ) / 811

GCD(1, 811) = 811 / 811

GCD(1, 811) = 1

GCD of 78, 312, 163, 811 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 147, 435, 555
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• GCD of 80, 404, 116, 957
• GCD of 11, 722, 486, 626
• GCD of 18, 193, 593, 347

1. What is the GCD of 78, 312, 163, 811?

GCD of 78, 312, 163, 811 is 1

2. Where do I get the detailed procedure to find GCD of 78, 312, 163, 811?

You can find a detailed procedure to find GCD of 78, 312, 163, 811 on our page.

3. How to find GCD of 78, 312, 163, 811 on a calculator?

You can find the GCD of 78, 312, 163, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.