GCD of 495, 742, 44, 413 Calculator

Given Input numbers are 495, 742, 44, 413

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 495, 742, 44, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 742, 44, 413 is 1.

Therefore, GCD of numbers 495, 742, 44, 413 is 1

Given Input Data is 495, 742, 44, 413

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 742 is 2 x 7 x 53

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 413 is 7 x 59

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, 742) = 367290

GCD(495, 742) = ( 495 x 742 ) / 367290

GCD(495, 742) = 367290 / 367290

GCD(495, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 495, 742, 44, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 641, 68, 567
• GCD of 494, 543, 75, 602
• GCD of 815, 790, 54, 981
• GCD of 102, 509, 12, 933
• GCD of 681, 110, 62, 818

1. What is the GCD of 495, 742, 44, 413?

GCD of 495, 742, 44, 413 is 1

2. Where do I get the detailed procedure to find GCD of 495, 742, 44, 413?

You can find a detailed procedure to find GCD of 495, 742, 44, 413 on our page.

3. How to find GCD of 495, 742, 44, 413 on a calculator?

You can find the GCD of 495, 742, 44, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.