GCD of 540, 450, 406, 550 Calculator

Given Input numbers are 540, 450, 406, 550

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 540, 450, 406, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 450, 406, 550 is 2.

Therefore, GCD of numbers 540, 450, 406, 550 is 2

Given Input Data is 540, 450, 406, 550

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 550 is 2 x 5 x 5 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(540, 450) = 2700

GCD(540, 450) = ( 540 x 450 ) / 2700

GCD(540, 450) = 243000 / 2700

GCD(540, 450) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 406

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

LCM(90, 406) = 18270

GCD(90, 406) = ( 90 x 406 ) / 18270

GCD(90, 406) = 36540 / 18270

GCD(90, 406) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

GCD of 540, 450, 406, 550 is 2

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1. What is the GCD of 540, 450, 406, 550?

GCD of 540, 450, 406, 550 is 2

2. Where do I get the detailed procedure to find GCD of 540, 450, 406, 550?

You can find a detailed procedure to find GCD of 540, 450, 406, 550 on our page.

3. How to find GCD of 540, 450, 406, 550 on a calculator?

You can find the GCD of 540, 450, 406, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.