GCD of 713, 190, 74, 165 Calculator

Given Input numbers are 713, 190, 74, 165

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 165

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

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

Greatest Common Divisior

We found the divisors of 713, 190, 74, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 190, 74, 165 is 1.

Therefore, GCD of numbers 713, 190, 74, 165 is 1

Given Input Data is 713, 190, 74, 165

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 165 is 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(713, 190) = 135470

GCD(713, 190) = ( 713 x 190 ) / 135470

GCD(713, 190) = 135470 / 135470

GCD(713, 190) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 713, 190, 74, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 349, 73, 680
• GCD of 363, 347, 53, 513
• GCD of 384, 148, 68, 652
• GCD of 601, 271, 19, 380
• GCD of 471, 911, 82, 266

1. What is the GCD of 713, 190, 74, 165?

GCD of 713, 190, 74, 165 is 1

2. Where do I get the detailed procedure to find GCD of 713, 190, 74, 165?

You can find a detailed procedure to find GCD of 713, 190, 74, 165 on our page.

3. How to find GCD of 713, 190, 74, 165 on a calculator?

You can find the GCD of 713, 190, 74, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.