GCD of 837, 477, 45, 891 Calculator

Given Input numbers are 837, 477, 45, 891

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 837, 477, 45, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 477, 45, 891 is 9.

Therefore, GCD of numbers 837, 477, 45, 891 is 9

Given Input Data is 837, 477, 45, 891

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 477 is 3 x 3 x 53

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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, 477) = 44361

GCD(837, 477) = ( 837 x 477 ) / 44361

GCD(837, 477) = 399249 / 44361

GCD(837, 477) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 45

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

LCM(9, 45) = 45

GCD(9, 45) = ( 9 x 45 ) / 45

GCD(9, 45) = 405 / 45

GCD(9, 45) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 891

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

LCM(9, 891) = 891

GCD(9, 891) = ( 9 x 891 ) / 891

GCD(9, 891) = 8019 / 891

GCD(9, 891) = 9

GCD of 837, 477, 45, 891 is 9

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1. What is the GCD of 837, 477, 45, 891?

GCD of 837, 477, 45, 891 is 9

2. Where do I get the detailed procedure to find GCD of 837, 477, 45, 891?

You can find a detailed procedure to find GCD of 837, 477, 45, 891 on our page.

3. How to find GCD of 837, 477, 45, 891 on a calculator?

You can find the GCD of 837, 477, 45, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.