Where do I get the detailed procedure to find GCD of 525, 792, 852?

You can find a detailed procedure to find GCD of 525, 792, 852 on our page.

How to find GCD of 525, 792, 852 on a calculator?

You can find the GCD of 525, 792, 852 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 525, 792, 852 Calculator

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

Online GCD Calculator is useful to find the GCD of 525, 792, 852 quickly. Get the easiest ways to solve the greatest common divisor of 525, 792, 852 i.e 3 in different methods as follows.

How to Find GCD of Numbers 525, 792, 852 with Factoring?

Given Input numbers are 525, 792, 852

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (525, 792, 852) = 3.

Find GCD of 525, 792, 852 using Prime Factorization

Given numbers are 525, 792, 852

The list of prime factors of all numbers are

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 525, 792, 852 is 3.

Steps to Calculate GCD of 525, 792, 852 using LCM Formula

Given numbers are 525, 792, 852

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

Apply this formula for all numbers.

Step1:

LCM(525, 792) = 138600

GCD(525, 792) = ( 525 x 792 ) / 138600

= 525 / 792

= 525

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

So, Greatest Common Divisor of 525, 792, 852 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 525, 792, 852

Given numbers are 525, 792, 852
The greatest common divisor of numbers 525, 792, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 792, 852 is 3.

FAQs on GCD of 525, 792, 852 Calculator

1. What is the GCD of 525, 792, 852?

GCD of given numbers 525, 792, 852 is 3

2. How to calculate the greatest common divisor of 525, 792, 852?

We can find the highest common divisor of 525, 792, 852 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 525, 792, 852 i.e 3.

3. How can I use the GCD of 525, 792, 852Calculator?

Out the numbers 525, 792, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.