GCD of 450, 206, 662 Calculator

Given Input numbers are 450, 206, 662

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 450, 206, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 206, 662 is 2.

Therefore, GCD of numbers 450, 206, 662 is 2

Given Input Data is 450, 206, 662

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 206 is 2 x 103

Prime Factorization of 662 is 2 x 331

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, 206) = 46350

GCD(450, 206) = ( 450 x 206 ) / 46350

GCD(450, 206) = 92700 / 46350

GCD(450, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 450, 206, 662 is 2

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1. What is the GCD of 450, 206, 662?

GCD of 450, 206, 662 is 2

2. Where do I get the detailed procedure to find GCD of 450, 206, 662?

You can find a detailed procedure to find GCD of 450, 206, 662 on our page.

3. How to find GCD of 450, 206, 662 on a calculator?

You can find the GCD of 450, 206, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.