GCD of 495, 396, 793, 175 Calculator

Given Input numbers are 495, 396, 793, 175

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

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 495, 396, 793, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 396, 793, 175 is 1.

Therefore, GCD of numbers 495, 396, 793, 175 is 1

Given Input Data is 495, 396, 793, 175

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

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 793 is 13 x 61

Prime Factorization of 175 is 5 x 5 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(495, 396) = 1980

GCD(495, 396) = ( 495 x 396 ) / 1980

GCD(495, 396) = 196020 / 1980

GCD(495, 396) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 793

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

LCM(99, 793) = 78507

GCD(99, 793) = ( 99 x 793 ) / 78507

GCD(99, 793) = 78507 / 78507

GCD(99, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 495, 396, 793, 175 is 1

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1. What is the GCD of 495, 396, 793, 175?

GCD of 495, 396, 793, 175 is 1

2. Where do I get the detailed procedure to find GCD of 495, 396, 793, 175?

You can find a detailed procedure to find GCD of 495, 396, 793, 175 on our page.

3. How to find GCD of 495, 396, 793, 175 on a calculator?

You can find the GCD of 495, 396, 793, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.