GCD of 954, 510, 99, 849 Calculator

Given Input numbers are 954, 510, 99, 849

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 954, 510, 99, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 510, 99, 849 is 3.

Therefore, GCD of numbers 954, 510, 99, 849 is 3

Given Input Data is 954, 510, 99, 849

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 849 is 3 x 283

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(954, 510) = 81090

GCD(954, 510) = ( 954 x 510 ) / 81090

GCD(954, 510) = 486540 / 81090

GCD(954, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 99

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

LCM(6, 99) = 198

GCD(6, 99) = ( 6 x 99 ) / 198

GCD(6, 99) = 594 / 198

GCD(6, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

GCD of 954, 510, 99, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 493, 20, 997
• GCD of 658, 138, 38, 208
• GCD of 585, 475, 88, 174
• GCD of 380, 315, 40, 806
• GCD of 318, 956, 11, 786

1. What is the GCD of 954, 510, 99, 849?

GCD of 954, 510, 99, 849 is 3

2. Where do I get the detailed procedure to find GCD of 954, 510, 99, 849?

You can find a detailed procedure to find GCD of 954, 510, 99, 849 on our page.

3. How to find GCD of 954, 510, 99, 849 on a calculator?

You can find the GCD of 954, 510, 99, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.