GCD of 225, 738, 63, 514 Calculator

Given Input numbers are 225, 738, 63, 514

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 63

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

1, 3, 7, 9, 21, 63

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 225, 738, 63, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 738, 63, 514 is 1.

Therefore, GCD of numbers 225, 738, 63, 514 is 1

Given Input Data is 225, 738, 63, 514

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 514 is 2 x 257

The above numbers do not have any common prime factor. So GCD is 1

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(225, 738) = 18450

GCD(225, 738) = ( 225 x 738 ) / 18450

GCD(225, 738) = 166050 / 18450

GCD(225, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 63

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

LCM(9, 63) = 63

GCD(9, 63) = ( 9 x 63 ) / 63

GCD(9, 63) = 567 / 63

GCD(9, 63) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 514

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

LCM(9, 514) = 4626

GCD(9, 514) = ( 9 x 514 ) / 4626

GCD(9, 514) = 4626 / 4626

GCD(9, 514) = 1

GCD of 225, 738, 63, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 193, 75, 342
• GCD of 545, 640, 10, 442
• GCD of 447, 756, 74, 264
• GCD of 981, 798, 24, 443
• GCD of 694, 353, 95, 817

1. What is the GCD of 225, 738, 63, 514?

GCD of 225, 738, 63, 514 is 1

2. Where do I get the detailed procedure to find GCD of 225, 738, 63, 514?

You can find a detailed procedure to find GCD of 225, 738, 63, 514 on our page.

3. How to find GCD of 225, 738, 63, 514 on a calculator?

You can find the GCD of 225, 738, 63, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.