GCD of 216, 748, 145, 242 Calculator

Given Input numbers are 216, 748, 145, 242

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

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 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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 242

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

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 216, 748, 145, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 748, 145, 242 is 1.

Therefore, GCD of numbers 216, 748, 145, 242 is 1

Given Input Data is 216, 748, 145, 242

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

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

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 242 is 2 x 11 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(216, 748) = 40392

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

GCD(216, 748) = 161568 / 40392

GCD(216, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 145

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

LCM(4, 145) = 580

GCD(4, 145) = ( 4 x 145 ) / 580

GCD(4, 145) = 580 / 580

GCD(4, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 216, 748, 145, 242 is 1

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1. What is the GCD of 216, 748, 145, 242?

GCD of 216, 748, 145, 242 is 1

2. Where do I get the detailed procedure to find GCD of 216, 748, 145, 242?

You can find a detailed procedure to find GCD of 216, 748, 145, 242 on our page.

3. How to find GCD of 216, 748, 145, 242 on a calculator?

You can find the GCD of 216, 748, 145, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.