GCD of 827, 916, 78, 444 Calculator

Given Input numbers are 827, 916, 78, 444

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 827, 916, 78, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 916, 78, 444 is 1.

Therefore, GCD of numbers 827, 916, 78, 444 is 1

Given Input Data is 827, 916, 78, 444

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

Prime Factorization of 827 is 827

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(827, 916) = 757532

GCD(827, 916) = ( 827 x 916 ) / 757532

GCD(827, 916) = 757532 / 757532

GCD(827, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 827, 916, 78, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 750, 98, 423
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• GCD of 582, 322, 50, 673

1. What is the GCD of 827, 916, 78, 444?

GCD of 827, 916, 78, 444 is 1

2. Where do I get the detailed procedure to find GCD of 827, 916, 78, 444?

You can find a detailed procedure to find GCD of 827, 916, 78, 444 on our page.

3. How to find GCD of 827, 916, 78, 444 on a calculator?

You can find the GCD of 827, 916, 78, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.