GCD of 612, 225, 63, 308 Calculator

Given Input numbers are 612, 225, 63, 308

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 63

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

1, 3, 7, 9, 21, 63

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 612, 225, 63, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 225, 63, 308 is 1.

Therefore, GCD of numbers 612, 225, 63, 308 is 1

Given Input Data is 612, 225, 63, 308

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(612, 225) = 15300

GCD(612, 225) = ( 612 x 225 ) / 15300

GCD(612, 225) = 137700 / 15300

GCD(612, 225) = 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 308

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

LCM(9, 308) = 2772

GCD(9, 308) = ( 9 x 308 ) / 2772

GCD(9, 308) = 2772 / 2772

GCD(9, 308) = 1

GCD of 612, 225, 63, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 503, 80, 191
• GCD of 919, 614, 44, 960
• GCD of 631, 160, 18, 112
• GCD of 579, 199, 91, 254
• GCD of 430, 651, 20, 914

1. What is the GCD of 612, 225, 63, 308?

GCD of 612, 225, 63, 308 is 1

2. Where do I get the detailed procedure to find GCD of 612, 225, 63, 308?

You can find a detailed procedure to find GCD of 612, 225, 63, 308 on our page.

3. How to find GCD of 612, 225, 63, 308 on a calculator?

You can find the GCD of 612, 225, 63, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.