GCD of 144, 210, 30, 738 Calculator

Given Input numbers are 144, 210, 30, 738

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 144, 210, 30, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 210, 30, 738 is 6.

Therefore, GCD of numbers 144, 210, 30, 738 is 6

Given Input Data is 144, 210, 30, 738

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 30 is 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(144, 210) = 5040

GCD(144, 210) = ( 144 x 210 ) / 5040

GCD(144, 210) = 30240 / 5040

GCD(144, 210) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 30

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

LCM(6, 30) = 30

GCD(6, 30) = ( 6 x 30 ) / 30

GCD(6, 30) = 180 / 30

GCD(6, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 738

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

LCM(6, 738) = 738

GCD(6, 738) = ( 6 x 738 ) / 738

GCD(6, 738) = 4428 / 738

GCD(6, 738) = 6

GCD of 144, 210, 30, 738 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 175, 56, 869
• GCD of 365, 357, 58, 728
• GCD of 273, 724, 49, 596
• GCD of 911, 181, 81, 459
• GCD of 223, 458, 70, 378

1. What is the GCD of 144, 210, 30, 738?

GCD of 144, 210, 30, 738 is 6

2. Where do I get the detailed procedure to find GCD of 144, 210, 30, 738?

You can find a detailed procedure to find GCD of 144, 210, 30, 738 on our page.

3. How to find GCD of 144, 210, 30, 738 on a calculator?

You can find the GCD of 144, 210, 30, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.