GCD of 748, 216, 242, 536 Calculator

Given Input numbers are 748, 216, 242, 536

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 748, 216, 242, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 216, 242, 536 is 2.

Therefore, GCD of numbers 748, 216, 242, 536 is 2

Given Input Data is 748, 216, 242, 536

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(748, 216) = 40392

GCD(748, 216) = ( 748 x 216 ) / 40392

GCD(748, 216) = 161568 / 40392

GCD(748, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 242

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

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

GCD(4, 242) = 968 / 484

GCD(4, 242) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

GCD of 748, 216, 242, 536 is 2

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1. What is the GCD of 748, 216, 242, 536?

GCD of 748, 216, 242, 536 is 2

2. Where do I get the detailed procedure to find GCD of 748, 216, 242, 536?

You can find a detailed procedure to find GCD of 748, 216, 242, 536 on our page.

3. How to find GCD of 748, 216, 242, 536 on a calculator?

You can find the GCD of 748, 216, 242, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.