Where do I get the detailed procedure to find GCD of 525, 360, 699?

You can find a detailed procedure to find GCD of 525, 360, 699 on our page.

How to find GCD of 525, 360, 699 on a calculator?

You can find the GCD of 525, 360, 699 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, 360, 699 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, 360, 699 quickly. Get the easiest ways to solve the greatest common divisor of 525, 360, 699 i.e 3 in different methods as follows.

How to Find GCD of Numbers 525, 360, 699 with Factoring?

Given Input numbers are 525, 360, 699

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (525, 360, 699) = 3.

Find GCD of 525, 360, 699 using Prime Factorization

Given numbers are 525, 360, 699

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 525, 360, 699 is 3.

Steps to Calculate GCD of 525, 360, 699 using LCM Formula

Given numbers are 525, 360, 699

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

Apply this formula for all numbers.

Step1:

LCM(525, 360) = 12600

GCD(525, 360) = ( 525 x 360 ) / 12600

= 525 / 360

= 525

Step2:

LCM(15, 699) = 3495

GCD(15, 699) = ( 15 x 699 ) / 3495

= 15 / 699

= 15

So, Greatest Common Divisor of 525, 360, 699 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 525, 360, 699

Given numbers are 525, 360, 699
The greatest common divisor of numbers 525, 360, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 360, 699 is 3.

FAQs on GCD of 525, 360, 699 Calculator

1. What is the GCD of 525, 360, 699?

GCD of given numbers 525, 360, 699 is 3

2. How to calculate the greatest common divisor of 525, 360, 699?

We can find the highest common divisor of 525, 360, 699 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, 360, 699 i.e 3.

3. How can I use the GCD of 525, 360, 699Calculator?

Out the numbers 525, 360, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.