GCD of 483, 738, 15, 505 Calculator

Given Input numbers are 483, 738, 15, 505

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

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 483, 738, 15, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 738, 15, 505 is 1.

Therefore, GCD of numbers 483, 738, 15, 505 is 1

Given Input Data is 483, 738, 15, 505

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 15 is 3 x 5

Prime Factorization of 505 is 5 x 101

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(483, 738) = 118818

GCD(483, 738) = ( 483 x 738 ) / 118818

GCD(483, 738) = 356454 / 118818

GCD(483, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

GCD of 483, 738, 15, 505 is 1

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• GCD of 652, 984, 36, 994
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1. What is the GCD of 483, 738, 15, 505?

GCD of 483, 738, 15, 505 is 1

2. Where do I get the detailed procedure to find GCD of 483, 738, 15, 505?

You can find a detailed procedure to find GCD of 483, 738, 15, 505 on our page.

3. How to find GCD of 483, 738, 15, 505 on a calculator?

You can find the GCD of 483, 738, 15, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.