Where do I get the detailed procedure to find GCD of 780, 285, 210?

You can find a detailed procedure to find GCD of 780, 285, 210 on our page.

How to find GCD of 780, 285, 210 on a calculator?

You can find the GCD of 780, 285, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 780, 285, 210 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 780, 285, 210 quickly. Get the easiest ways to solve the greatest common divisor of 780, 285, 210 i.e 15 in different methods as follows.

How to Find GCD of Numbers 780, 285, 210 with Factoring?

Given Input numbers are 780, 285, 210

In the factoring method, we have to find the divisors of all numbers

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (780, 285, 210) = 15.

Find GCD of 780, 285, 210 using Prime Factorization

Given numbers are 780, 285, 210

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 285 are 3 x 5 x 19

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 780, 285, 210 is 15.

Steps to Calculate GCD of 780, 285, 210 using LCM Formula

Given numbers are 780, 285, 210

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(780, 285) = 14820

GCD(780, 285) = ( 780 x 285 ) / 14820

= 780 / 285

= 780

Step2:

LCM(15, 210) = 210

GCD(15, 210) = ( 15 x 210 ) / 210

= 15 / 210

= 15

So, Greatest Common Divisor of 780, 285, 210 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 780, 285, 210

Given numbers are 780, 285, 210
The greatest common divisor of numbers 780, 285, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 285, 210 is 15.

FAQs on GCD of 780, 285, 210 Calculator

1. What is the GCD of 780, 285, 210?

GCD of given numbers 780, 285, 210 is 15

2. How to calculate the greatest common divisor of 780, 285, 210?

We can find the highest common divisor of 780, 285, 210 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 780, 285, 210 i.e 15.

3. How can I use the GCD of 780, 285, 210Calculator?

Out the numbers 780, 285, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.