GCD of 375, 215, 990, 480 Calculator

Given Input numbers are 375, 215, 990, 480

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

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 375, 215, 990, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 215, 990, 480 is 5.

Therefore, GCD of numbers 375, 215, 990, 480 is 5

Given Input Data is 375, 215, 990, 480

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

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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 5¹

Multiplying them we get the GCD as 5

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(375, 215) = 16125

GCD(375, 215) = ( 375 x 215 ) / 16125

GCD(375, 215) = 80625 / 16125

GCD(375, 215) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 990

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

LCM(5, 990) = 990

GCD(5, 990) = ( 5 x 990 ) / 990

GCD(5, 990) = 4950 / 990

GCD(5, 990) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 480

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

LCM(5, 480) = 480

GCD(5, 480) = ( 5 x 480 ) / 480

GCD(5, 480) = 2400 / 480

GCD(5, 480) = 5

GCD of 375, 215, 990, 480 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 745, 401, 914
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1. What is the GCD of 375, 215, 990, 480?

GCD of 375, 215, 990, 480 is 5

2. Where do I get the detailed procedure to find GCD of 375, 215, 990, 480?

You can find a detailed procedure to find GCD of 375, 215, 990, 480 on our page.

3. How to find GCD of 375, 215, 990, 480 on a calculator?

You can find the GCD of 375, 215, 990, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.