GCD of 165, 385, 745, 813 Calculator

Given Input numbers are 165, 385, 745, 813

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 165, 385, 745, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 385, 745, 813 is 1.

Therefore, GCD of numbers 165, 385, 745, 813 is 1

Given Input Data is 165, 385, 745, 813

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 745 is 5 x 149

Prime Factorization of 813 is 3 x 271

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(165, 385) = 1155

GCD(165, 385) = ( 165 x 385 ) / 1155

GCD(165, 385) = 63525 / 1155

GCD(165, 385) = 55

Step2:

Here we consider the GCD from the above i.e. 55 as first number and the next as 745

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

LCM(55, 745) = 8195

GCD(55, 745) = ( 55 x 745 ) / 8195

GCD(55, 745) = 40975 / 8195

GCD(55, 745) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 813

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

LCM(5, 813) = 4065

GCD(5, 813) = ( 5 x 813 ) / 4065

GCD(5, 813) = 4065 / 4065

GCD(5, 813) = 1

GCD of 165, 385, 745, 813 is 1

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1. What is the GCD of 165, 385, 745, 813?

GCD of 165, 385, 745, 813 is 1

2. Where do I get the detailed procedure to find GCD of 165, 385, 745, 813?

You can find a detailed procedure to find GCD of 165, 385, 745, 813 on our page.

3. How to find GCD of 165, 385, 745, 813 on a calculator?

You can find the GCD of 165, 385, 745, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.