GCD of 105, 493, 37, 102 Calculator

Given Input numbers are 105, 493, 37, 102

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 105, 493, 37, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 493, 37, 102 is 1.

Therefore, GCD of numbers 105, 493, 37, 102 is 1

Given Input Data is 105, 493, 37, 102

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 493 is 17 x 29

Prime Factorization of 37 is 37

Prime Factorization of 102 is 2 x 3 x 17

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(105, 493) = 51765

GCD(105, 493) = ( 105 x 493 ) / 51765

GCD(105, 493) = 51765 / 51765

GCD(105, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 105, 493, 37, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 867, 10, 714
• GCD of 877, 628, 38, 267
• GCD of 724, 815, 81, 849
• GCD of 432, 439, 92, 584
• GCD of 389, 916, 17, 335

1. What is the GCD of 105, 493, 37, 102?

GCD of 105, 493, 37, 102 is 1

2. Where do I get the detailed procedure to find GCD of 105, 493, 37, 102?

You can find a detailed procedure to find GCD of 105, 493, 37, 102 on our page.

3. How to find GCD of 105, 493, 37, 102 on a calculator?

You can find the GCD of 105, 493, 37, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.