GCD of 40, 480, 410, 205 Calculator

Given Input numbers are 40, 480, 410, 205

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 40, 480, 410, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 480, 410, 205 is 5.

Therefore, GCD of numbers 40, 480, 410, 205 is 5

Given Input Data is 40, 480, 410, 205

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 205 is 5 x 41

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(40, 480) = 480

GCD(40, 480) = ( 40 x 480 ) / 480

GCD(40, 480) = 19200 / 480

GCD(40, 480) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 410

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

LCM(40, 410) = 1640

GCD(40, 410) = ( 40 x 410 ) / 1640

GCD(40, 410) = 16400 / 1640

GCD(40, 410) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 205

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

LCM(10, 205) = 410

GCD(10, 205) = ( 10 x 205 ) / 410

GCD(10, 205) = 2050 / 410

GCD(10, 205) = 5

GCD of 40, 480, 410, 205 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 131, 874, 762
• GCD of 50, 107, 443, 473
• GCD of 55, 476, 712, 339
• GCD of 24, 392, 646, 336
• GCD of 88, 476, 869, 516

1. What is the GCD of 40, 480, 410, 205?

GCD of 40, 480, 410, 205 is 5

2. Where do I get the detailed procedure to find GCD of 40, 480, 410, 205?

You can find a detailed procedure to find GCD of 40, 480, 410, 205 on our page.

3. How to find GCD of 40, 480, 410, 205 on a calculator?

You can find the GCD of 40, 480, 410, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.