GCD of 738, 339, 90, 480 Calculator

Given Input numbers are 738, 339, 90, 480

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Greatest Common Divisior

We found the divisors of 738, 339, 90, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 339, 90, 480 is 3.

Therefore, GCD of numbers 738, 339, 90, 480 is 3

Given Input Data is 738, 339, 90, 480

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 339 is 3 x 113

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

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(738, 339) = 83394

GCD(738, 339) = ( 738 x 339 ) / 83394

GCD(738, 339) = 250182 / 83394

GCD(738, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 480

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

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

GCD(3, 480) = 1440 / 480

GCD(3, 480) = 3

GCD of 738, 339, 90, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 284, 62, 828
• GCD of 737, 719, 49, 777
• GCD of 164, 925, 53, 806
• GCD of 864, 847, 44, 346
• GCD of 839, 566, 89, 628

1. What is the GCD of 738, 339, 90, 480?

GCD of 738, 339, 90, 480 is 3

2. Where do I get the detailed procedure to find GCD of 738, 339, 90, 480?

You can find a detailed procedure to find GCD of 738, 339, 90, 480 on our page.

3. How to find GCD of 738, 339, 90, 480 on a calculator?

You can find the GCD of 738, 339, 90, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.