GCD of 496, 483, 975, 729 Calculator

Given Input numbers are 496, 483, 975, 729

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 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 496, 483, 975, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 483, 975, 729 is 1.

Therefore, GCD of numbers 496, 483, 975, 729 is 1

Given Input Data is 496, 483, 975, 729

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 483 is 3 x 7 x 23

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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, 483) = 239568

GCD(496, 483) = ( 496 x 483 ) / 239568

GCD(496, 483) = 239568 / 239568

GCD(496, 483) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 496, 483, 975, 729 is 1

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• GCD of 494, 917, 241, 838

1. What is the GCD of 496, 483, 975, 729?

GCD of 496, 483, 975, 729 is 1

2. Where do I get the detailed procedure to find GCD of 496, 483, 975, 729?

You can find a detailed procedure to find GCD of 496, 483, 975, 729 on our page.

3. How to find GCD of 496, 483, 975, 729 on a calculator?

You can find the GCD of 496, 483, 975, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.