GCD of 45, 153, 513, 789 Calculator

Given Input numbers are 45, 153, 513, 789

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 45, 153, 513, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 153, 513, 789 is 3.

Therefore, GCD of numbers 45, 153, 513, 789 is 3

Given Input Data is 45, 153, 513, 789

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 153 is 3 x 3 x 17

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 789 is 3 x 263

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, 153) = 765

GCD(45, 153) = ( 45 x 153 ) / 765

GCD(45, 153) = 6885 / 765

GCD(45, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 513

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

LCM(9, 513) = 513

GCD(9, 513) = ( 9 x 513 ) / 513

GCD(9, 513) = 4617 / 513

GCD(9, 513) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 789

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

LCM(9, 789) = 2367

GCD(9, 789) = ( 9 x 789 ) / 2367

GCD(9, 789) = 7101 / 2367

GCD(9, 789) = 3

GCD of 45, 153, 513, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 680, 191, 324
• GCD of 54, 329, 770, 203
• GCD of 82, 725, 262, 966
• GCD of 16, 624, 238, 169
• GCD of 76, 609, 488, 280

1. What is the GCD of 45, 153, 513, 789?

GCD of 45, 153, 513, 789 is 3

2. Where do I get the detailed procedure to find GCD of 45, 153, 513, 789?

You can find a detailed procedure to find GCD of 45, 153, 513, 789 on our page.

3. How to find GCD of 45, 153, 513, 789 on a calculator?

You can find the GCD of 45, 153, 513, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.