GCD of 450, 540, 606, 452 Calculator

Given Input numbers are 450, 540, 606, 452

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

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 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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 450, 540, 606, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 540, 606, 452 is 2.

Therefore, GCD of numbers 450, 540, 606, 452 is 2

Given Input Data is 450, 540, 606, 452

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

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

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

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 452 is 2 x 2 x 113

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(450, 540) = 2700

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

GCD(450, 540) = 243000 / 2700

GCD(450, 540) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 606

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

LCM(90, 606) = 9090

GCD(90, 606) = ( 90 x 606 ) / 9090

GCD(90, 606) = 54540 / 9090

GCD(90, 606) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 452

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

LCM(6, 452) = 1356

GCD(6, 452) = ( 6 x 452 ) / 1356

GCD(6, 452) = 2712 / 1356

GCD(6, 452) = 2

GCD of 450, 540, 606, 452 is 2

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1. What is the GCD of 450, 540, 606, 452?

GCD of 450, 540, 606, 452 is 2

2. Where do I get the detailed procedure to find GCD of 450, 540, 606, 452?

You can find a detailed procedure to find GCD of 450, 540, 606, 452 on our page.

3. How to find GCD of 450, 540, 606, 452 on a calculator?

You can find the GCD of 450, 540, 606, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.