GCD of 837, 816, 28, 278 Calculator

Given Input numbers are 837, 816, 28, 278

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

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 837, 816, 28, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 816, 28, 278 is 1.

Therefore, GCD of numbers 837, 816, 28, 278 is 1

Given Input Data is 837, 816, 28, 278

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

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 278 is 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(837, 816) = 227664

GCD(837, 816) = ( 837 x 816 ) / 227664

GCD(837, 816) = 682992 / 227664

GCD(837, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 837, 816, 28, 278 is 1

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1. What is the GCD of 837, 816, 28, 278?

GCD of 837, 816, 28, 278 is 1

2. Where do I get the detailed procedure to find GCD of 837, 816, 28, 278?

You can find a detailed procedure to find GCD of 837, 816, 28, 278 on our page.

3. How to find GCD of 837, 816, 28, 278 on a calculator?

You can find the GCD of 837, 816, 28, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.