GCD of 240, 652, 22, 728 Calculator

Given Input numbers are 240, 652, 22, 728

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 240, 652, 22, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 652, 22, 728 is 2.

Therefore, GCD of numbers 240, 652, 22, 728 is 2

Given Input Data is 240, 652, 22, 728

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 22 is 2 x 11

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(240, 652) = 39120

GCD(240, 652) = ( 240 x 652 ) / 39120

GCD(240, 652) = 156480 / 39120

GCD(240, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 240, 652, 22, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 558, 44, 591
• GCD of 324, 774, 91, 509
• GCD of 869, 154, 71, 688
• GCD of 671, 462, 91, 163
• GCD of 397, 156, 30, 860

1. What is the GCD of 240, 652, 22, 728?

GCD of 240, 652, 22, 728 is 2

2. Where do I get the detailed procedure to find GCD of 240, 652, 22, 728?

You can find a detailed procedure to find GCD of 240, 652, 22, 728 on our page.

3. How to find GCD of 240, 652, 22, 728 on a calculator?

You can find the GCD of 240, 652, 22, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.