GCD of 81, 375, 477, 198 Calculator

Given Input numbers are 81, 375, 477, 198

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 477

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

1, 3, 9, 53, 159, 477

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 81, 375, 477, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 375, 477, 198 is 3.

Therefore, GCD of numbers 81, 375, 477, 198 is 3

Given Input Data is 81, 375, 477, 198

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 198 is 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(81, 375) = 10125

GCD(81, 375) = ( 81 x 375 ) / 10125

GCD(81, 375) = 30375 / 10125

GCD(81, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

GCD of 81, 375, 477, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 335, 992, 659
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• GCD of 71, 196, 513, 713
• GCD of 39, 868, 263, 454

1. What is the GCD of 81, 375, 477, 198?

GCD of 81, 375, 477, 198 is 3

2. Where do I get the detailed procedure to find GCD of 81, 375, 477, 198?

You can find a detailed procedure to find GCD of 81, 375, 477, 198 on our page.

3. How to find GCD of 81, 375, 477, 198 on a calculator?

You can find the GCD of 81, 375, 477, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.