GCD of 720, 789, 786, 468 Calculator

Given Input numbers are 720, 789, 786, 468

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

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 789

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

1, 3, 263, 789

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 720, 789, 786, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 789, 786, 468 is 3.

Therefore, GCD of numbers 720, 789, 786, 468 is 3

Given Input Data is 720, 789, 786, 468

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

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(720, 789) = 189360

GCD(720, 789) = ( 720 x 789 ) / 189360

GCD(720, 789) = 568080 / 189360

GCD(720, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 786

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

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

GCD(3, 786) = 2358 / 786

GCD(3, 786) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 468

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

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

GCD(3, 468) = 1404 / 468

GCD(3, 468) = 3

GCD of 720, 789, 786, 468 is 3

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1. What is the GCD of 720, 789, 786, 468?

GCD of 720, 789, 786, 468 is 3

2. Where do I get the detailed procedure to find GCD of 720, 789, 786, 468?

You can find a detailed procedure to find GCD of 720, 789, 786, 468 on our page.

3. How to find GCD of 720, 789, 786, 468 on a calculator?

You can find the GCD of 720, 789, 786, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.