GCD of 46, 226, 648, 720 Calculator

Given Input numbers are 46, 226, 648, 720

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 46, 226, 648, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 226, 648, 720 is 2.

Therefore, GCD of numbers 46, 226, 648, 720 is 2

Given Input Data is 46, 226, 648, 720

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 226 is 2 x 113

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(46, 226) = 5198

GCD(46, 226) = ( 46 x 226 ) / 5198

GCD(46, 226) = 10396 / 5198

GCD(46, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 46, 226, 648, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 463, 866, 844
• GCD of 30, 314, 439, 698
• GCD of 64, 688, 348, 445
• GCD of 86, 195, 451, 100
• GCD of 46, 979, 183, 449

1. What is the GCD of 46, 226, 648, 720?

GCD of 46, 226, 648, 720 is 2

2. Where do I get the detailed procedure to find GCD of 46, 226, 648, 720?

You can find a detailed procedure to find GCD of 46, 226, 648, 720 on our page.

3. How to find GCD of 46, 226, 648, 720 on a calculator?

You can find the GCD of 46, 226, 648, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.