GCD of 390, 480, 297, 954 Calculator

Given Input numbers are 390, 480, 297, 954

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

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

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

Greatest Common Divisior

We found the divisors of 390, 480, 297, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 480, 297, 954 is 3.

Therefore, GCD of numbers 390, 480, 297, 954 is 3

Given Input Data is 390, 480, 297, 954

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

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(390, 480) = 6240

GCD(390, 480) = ( 390 x 480 ) / 6240

GCD(390, 480) = 187200 / 6240

GCD(390, 480) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 297

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

LCM(30, 297) = 2970

GCD(30, 297) = ( 30 x 297 ) / 2970

GCD(30, 297) = 8910 / 2970

GCD(30, 297) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

GCD of 390, 480, 297, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 866, 622, 500
• GCD of 764, 951, 341, 570
• GCD of 744, 222, 721, 722
• GCD of 567, 387, 434, 183
• GCD of 377, 132, 540, 447

1. What is the GCD of 390, 480, 297, 954?

GCD of 390, 480, 297, 954 is 3

2. Where do I get the detailed procedure to find GCD of 390, 480, 297, 954?

You can find a detailed procedure to find GCD of 390, 480, 297, 954 on our page.

3. How to find GCD of 390, 480, 297, 954 on a calculator?

You can find the GCD of 390, 480, 297, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.