GCD of 105, 275, 16, 185 Calculator

Given Input numbers are 105, 275, 16, 185

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 105, 275, 16, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 275, 16, 185 is 1.

Therefore, GCD of numbers 105, 275, 16, 185 is 1

Given Input Data is 105, 275, 16, 185

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 275 is 5 x 5 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 185 is 5 x 37

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, 275) = 5775

GCD(105, 275) = ( 105 x 275 ) / 5775

GCD(105, 275) = 28875 / 5775

GCD(105, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 105, 275, 16, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 975, 94, 570
• GCD of 255, 305, 43, 570
• GCD of 560, 879, 52, 525
• GCD of 705, 619, 41, 641
• GCD of 232, 265, 50, 644

1. What is the GCD of 105, 275, 16, 185?

GCD of 105, 275, 16, 185 is 1

2. Where do I get the detailed procedure to find GCD of 105, 275, 16, 185?

You can find a detailed procedure to find GCD of 105, 275, 16, 185 on our page.

3. How to find GCD of 105, 275, 16, 185 on a calculator?

You can find the GCD of 105, 275, 16, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.