GCD of 495, 295, 10, 923 Calculator

Given Input numbers are 495, 295, 10, 923

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 495, 295, 10, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 295, 10, 923 is 1.

Therefore, GCD of numbers 495, 295, 10, 923 is 1

Given Input Data is 495, 295, 10, 923

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 295 is 5 x 59

Prime Factorization of 10 is 2 x 5

Prime Factorization of 923 is 13 x 71

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(495, 295) = 29205

GCD(495, 295) = ( 495 x 295 ) / 29205

GCD(495, 295) = 146025 / 29205

GCD(495, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 923

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

LCM(5, 923) = 4615

GCD(5, 923) = ( 5 x 923 ) / 4615

GCD(5, 923) = 4615 / 4615

GCD(5, 923) = 1

GCD of 495, 295, 10, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 926, 79, 943
• GCD of 245, 784, 34, 884
• GCD of 943, 681, 16, 895
• GCD of 815, 818, 78, 316
• GCD of 275, 115, 21, 397

1. What is the GCD of 495, 295, 10, 923?

GCD of 495, 295, 10, 923 is 1

2. Where do I get the detailed procedure to find GCD of 495, 295, 10, 923?

You can find a detailed procedure to find GCD of 495, 295, 10, 923 on our page.

3. How to find GCD of 495, 295, 10, 923 on a calculator?

You can find the GCD of 495, 295, 10, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.