GCD of 45, 720, 543, 483 Calculator

Given Input numbers are 45, 720, 543, 483

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 483

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

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

Greatest Common Divisior

We found the divisors of 45, 720, 543, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 720, 543, 483 is 3.

Therefore, GCD of numbers 45, 720, 543, 483 is 3

Given Input Data is 45, 720, 543, 483

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 543 is 3 x 181

Prime Factorization of 483 is 3 x 7 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(45, 720) = 720

GCD(45, 720) = ( 45 x 720 ) / 720

GCD(45, 720) = 32400 / 720

GCD(45, 720) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 543

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

LCM(45, 543) = 8145

GCD(45, 543) = ( 45 x 543 ) / 8145

GCD(45, 543) = 24435 / 8145

GCD(45, 543) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 483

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

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

GCD(3, 483) = 1449 / 483

GCD(3, 483) = 3

GCD of 45, 720, 543, 483 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 394, 931, 623
• GCD of 34, 183, 636, 189
• GCD of 73, 665, 315, 807
• GCD of 69, 344, 892, 285
• GCD of 51, 513, 477, 116

1. What is the GCD of 45, 720, 543, 483?

GCD of 45, 720, 543, 483 is 3

2. Where do I get the detailed procedure to find GCD of 45, 720, 543, 483?

You can find a detailed procedure to find GCD of 45, 720, 543, 483 on our page.

3. How to find GCD of 45, 720, 543, 483 on a calculator?

You can find the GCD of 45, 720, 543, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.