GCD of 381, 910, 65, 123 Calculator

Given Input numbers are 381, 910, 65, 123

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 381, 910, 65, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 910, 65, 123 is 1.

Therefore, GCD of numbers 381, 910, 65, 123 is 1

Given Input Data is 381, 910, 65, 123

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 123 is 3 x 41

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(381, 910) = 346710

GCD(381, 910) = ( 381 x 910 ) / 346710

GCD(381, 910) = 346710 / 346710

GCD(381, 910) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 381, 910, 65, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 555, 62, 835
• GCD of 172, 693, 40, 285
• GCD of 408, 683, 73, 322
• GCD of 349, 464, 15, 747
• GCD of 111, 158, 83, 536

1. What is the GCD of 381, 910, 65, 123?

GCD of 381, 910, 65, 123 is 1

2. Where do I get the detailed procedure to find GCD of 381, 910, 65, 123?

You can find a detailed procedure to find GCD of 381, 910, 65, 123 on our page.

3. How to find GCD of 381, 910, 65, 123 on a calculator?

You can find the GCD of 381, 910, 65, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.