GCD of 735, 197, 13, 495 Calculator

Given Input numbers are 735, 197, 13, 495

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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

Greatest Common Divisior

We found the divisors of 735, 197, 13, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 197, 13, 495 is 1.

Therefore, GCD of numbers 735, 197, 13, 495 is 1

Given Input Data is 735, 197, 13, 495

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 197 is 197

Prime Factorization of 13 is 13

Prime Factorization of 495 is 3 x 3 x 5 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(735, 197) = 144795

GCD(735, 197) = ( 735 x 197 ) / 144795

GCD(735, 197) = 144795 / 144795

GCD(735, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

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

GCD of 735, 197, 13, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 105, 28, 450
• GCD of 185, 727, 52, 653
• GCD of 963, 218, 52, 452
• GCD of 535, 642, 49, 899
• GCD of 537, 611, 54, 988

1. What is the GCD of 735, 197, 13, 495?

GCD of 735, 197, 13, 495 is 1

2. Where do I get the detailed procedure to find GCD of 735, 197, 13, 495?

You can find a detailed procedure to find GCD of 735, 197, 13, 495 on our page.

3. How to find GCD of 735, 197, 13, 495 on a calculator?

You can find the GCD of 735, 197, 13, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.