GCD of 496, 494, 45, 929 Calculator

Given Input numbers are 496, 494, 45, 929

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 496, 494, 45, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 494, 45, 929 is 1.

Therefore, GCD of numbers 496, 494, 45, 929 is 1

Given Input Data is 496, 494, 45, 929

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 929 is 929

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(496, 494) = 122512

GCD(496, 494) = ( 496 x 494 ) / 122512

GCD(496, 494) = 245024 / 122512

GCD(496, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 496, 494, 45, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 179, 99, 276
• GCD of 748, 879, 45, 973
• GCD of 900, 641, 16, 236
• GCD of 300, 435, 75, 773
• GCD of 129, 958, 35, 470

1. What is the GCD of 496, 494, 45, 929?

GCD of 496, 494, 45, 929 is 1

2. Where do I get the detailed procedure to find GCD of 496, 494, 45, 929?

You can find a detailed procedure to find GCD of 496, 494, 45, 929 on our page.

3. How to find GCD of 496, 494, 45, 929 on a calculator?

You can find the GCD of 496, 494, 45, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.