GCD of 954, 364, 300, 792 Calculator

Given Input numbers are 954, 364, 300, 792

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 954, 364, 300, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 364, 300, 792 is 2.

Therefore, GCD of numbers 954, 364, 300, 792 is 2

Given Input Data is 954, 364, 300, 792

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 364) = 173628

GCD(954, 364) = ( 954 x 364 ) / 173628

GCD(954, 364) = 347256 / 173628

GCD(954, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 954, 364, 300, 792 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 151, 813, 786
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• GCD of 602, 584, 898, 664

1. What is the GCD of 954, 364, 300, 792?

GCD of 954, 364, 300, 792 is 2

2. Where do I get the detailed procedure to find GCD of 954, 364, 300, 792?

You can find a detailed procedure to find GCD of 954, 364, 300, 792 on our page.

3. How to find GCD of 954, 364, 300, 792 on a calculator?

You can find the GCD of 954, 364, 300, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.