Where do I get the detailed procedure to find GCD of 220, 300, 525?

You can find a detailed procedure to find GCD of 220, 300, 525 on our page.

How to find GCD of 220, 300, 525 on a calculator?

You can find the GCD of 220, 300, 525 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 220, 300, 525 Calculator

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

Online GCD Calculator is useful to find the GCD of 220, 300, 525 quickly. Get the easiest ways to solve the greatest common divisor of 220, 300, 525 i.e 5 in different methods as follows.

How to Find GCD of Numbers 220, 300, 525 with Factoring?

Given Input numbers are 220, 300, 525

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

GCD of numbers is the greatest common divisor

So, the GCD (220, 300, 525) = 5.

Find GCD of 220, 300, 525 using Prime Factorization

Given numbers are 220, 300, 525

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 220, 300, 525 is 5.

Steps to Calculate GCD of 220, 300, 525 using LCM Formula

Given numbers are 220, 300, 525

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

Apply this formula for all numbers.

Step1:

LCM(220, 300) = 3300

GCD(220, 300) = ( 220 x 300 ) / 3300

= 220 / 300

= 220

Step2:

LCM(20, 525) = 2100

GCD(20, 525) = ( 20 x 525 ) / 2100

= 20 / 525

= 20

So, Greatest Common Divisor of 220, 300, 525 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 220, 300, 525

Given numbers are 220, 300, 525
The greatest common divisor of numbers 220, 300, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 300, 525 is 5.

FAQs on GCD of 220, 300, 525 Calculator

1. What is the GCD of 220, 300, 525?

GCD of given numbers 220, 300, 525 is 5

2. How to calculate the greatest common divisor of 220, 300, 525?

We can find the highest common divisor of 220, 300, 525 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 220, 300, 525 i.e 5.

3. How can I use the GCD of 220, 300, 525Calculator?

Out the numbers 220, 300, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.