GCD of 63, 498, 660, 450 Calculator

Given Input numbers are 63, 498, 660, 450

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

Greatest Common Divisior

We found the divisors of 63, 498, 660, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 498, 660, 450 is 3.

Therefore, GCD of numbers 63, 498, 660, 450 is 3

Given Input Data is 63, 498, 660, 450

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(63, 498) = 10458

GCD(63, 498) = ( 63 x 498 ) / 10458

GCD(63, 498) = 31374 / 10458

GCD(63, 498) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 660

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

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

GCD(3, 660) = 1980 / 660

GCD(3, 660) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 450

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

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

GCD(3, 450) = 1350 / 450

GCD(3, 450) = 3

GCD of 63, 498, 660, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 448, 864, 302
• GCD of 50, 560, 752, 653
• GCD of 68, 457, 425, 317
• GCD of 57, 867, 994, 745
• GCD of 16, 444, 244, 422

1. What is the GCD of 63, 498, 660, 450?

GCD of 63, 498, 660, 450 is 3

2. Where do I get the detailed procedure to find GCD of 63, 498, 660, 450?

You can find a detailed procedure to find GCD of 63, 498, 660, 450 on our page.

3. How to find GCD of 63, 498, 660, 450 on a calculator?

You can find the GCD of 63, 498, 660, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.