GCD of 477, 165, 780 Calculator

Given Input numbers are 477, 165, 780

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 477, 165, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 165, 780 is 3.

Therefore, GCD of numbers 477, 165, 780 is 3

Given Input Data is 477, 165, 780

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 165 is 3 x 5 x 11

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(477, 165) = 26235

GCD(477, 165) = ( 477 x 165 ) / 26235

GCD(477, 165) = 78705 / 26235

GCD(477, 165) = 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 477, 165, 780 is 3

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1. What is the GCD of 477, 165, 780?

GCD of 477, 165, 780 is 3

2. Where do I get the detailed procedure to find GCD of 477, 165, 780?

You can find a detailed procedure to find GCD of 477, 165, 780 on our page.

3. How to find GCD of 477, 165, 780 on a calculator?

You can find the GCD of 477, 165, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.