GCD of 38, 749, 495, 245 Calculator

Given Input numbers are 38, 749, 495, 245

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 38, 749, 495, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 749, 495, 245 is 1.

Therefore, GCD of numbers 38, 749, 495, 245 is 1

Given Input Data is 38, 749, 495, 245

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 749 is 7 x 107

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 245 is 5 x 7 x 7

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(38, 749) = 28462

GCD(38, 749) = ( 38 x 749 ) / 28462

GCD(38, 749) = 28462 / 28462

GCD(38, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

GCD of 38, 749, 495, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 243, 458, 173
• GCD of 10, 276, 236, 653
• GCD of 86, 346, 524, 883
• GCD of 55, 515, 571, 838
• GCD of 64, 671, 814, 744

1. What is the GCD of 38, 749, 495, 245?

GCD of 38, 749, 495, 245 is 1

2. Where do I get the detailed procedure to find GCD of 38, 749, 495, 245?

You can find a detailed procedure to find GCD of 38, 749, 495, 245 on our page.

3. How to find GCD of 38, 749, 495, 245 on a calculator?

You can find the GCD of 38, 749, 495, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.