Where do I get the detailed procedure to find GCD of 825, 870, 750?

You can find a detailed procedure to find GCD of 825, 870, 750 on our page.

How to find GCD of 825, 870, 750 on a calculator?

You can find the GCD of 825, 870, 750 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 825, 870, 750 Calculator

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

Online GCD Calculator is useful to find the GCD of 825, 870, 750 quickly. Get the easiest ways to solve the greatest common divisor of 825, 870, 750 i.e 15 in different methods as follows.

How to Find GCD of Numbers 825, 870, 750 with Factoring?

Given Input numbers are 825, 870, 750

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (825, 870, 750) = 15.

Find GCD of 825, 870, 750 using Prime Factorization

Given numbers are 825, 870, 750

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 825, 870, 750 is 15.

Steps to Calculate GCD of 825, 870, 750 using LCM Formula

Given numbers are 825, 870, 750

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

Apply this formula for all numbers.

Step1:

LCM(825, 870) = 47850

GCD(825, 870) = ( 825 x 870 ) / 47850

= 825 / 870

= 825

Step2:

LCM(15, 750) = 750

GCD(15, 750) = ( 15 x 750 ) / 750

= 15 / 750

= 15

So, Greatest Common Divisor of 825, 870, 750 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 825, 870, 750

Given numbers are 825, 870, 750
The greatest common divisor of numbers 825, 870, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 870, 750 is 15.

FAQs on GCD of 825, 870, 750 Calculator

1. What is the GCD of 825, 870, 750?

GCD of given numbers 825, 870, 750 is 15

2. How to calculate the greatest common divisor of 825, 870, 750?

We can find the highest common divisor of 825, 870, 750 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 825, 870, 750 i.e 15.

3. How can I use the GCD of 825, 870, 750Calculator?

Out the numbers 825, 870, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.