GCD of 645, 366, 780 Calculator

Given Input numbers are 645, 366, 780

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 645, 366, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 366, 780 is 3.

Therefore, GCD of numbers 645, 366, 780 is 3

Given Input Data is 645, 366, 780

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 780 is 2 x 2 x 3 x 5 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(645, 366) = 78690

GCD(645, 366) = ( 645 x 366 ) / 78690

GCD(645, 366) = 236070 / 78690

GCD(645, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 780

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

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

GCD(3, 780) = 2340 / 780

GCD(3, 780) = 3

GCD of 645, 366, 780 is 3

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1. What is the GCD of 645, 366, 780?

GCD of 645, 366, 780 is 3

2. Where do I get the detailed procedure to find GCD of 645, 366, 780?

You can find a detailed procedure to find GCD of 645, 366, 780 on our page.

3. How to find GCD of 645, 366, 780 on a calculator?

You can find the GCD of 645, 366, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.