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GCD of 522, 224, 270 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 224, 270 quickly. Get the easiest ways to solve the greatest common divisor of 522, 224, 270 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 224, 270 with Factoring?

Given Input numbers are 522, 224, 270

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270


GCD of numbers is the greatest common divisor

So, the GCD (522, 224, 270) = 2.

Find GCD of 522, 224, 270 using Prime Factorization

Given numbers are 522, 224, 270

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 522, 224, 270 is 2.

Steps to Calculate GCD of 522, 224, 270 using LCM Formula

Given numbers are 522, 224, 270

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

Apply this formula for all numbers.

Step1:

LCM(522, 224) = 58464

GCD(522, 224) = ( 522 x 224 ) / 58464

= 522 / 224

= 522


Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2


So, Greatest Common Divisor of 522, 224, 270 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 224, 270

Given numbers are 522, 224, 270
The greatest common divisor of numbers 522, 224, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 224, 270 is 2.

FAQs on GCD of 522, 224, 270 Calculator

1. What is the GCD of 522, 224, 270?

GCD of given numbers 522, 224, 270 is 2


2. How to calculate the greatest common divisor of 522, 224, 270?

We can find the highest common divisor of 522, 224, 270 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 522, 224, 270 i.e 2.


3. How can I use the GCD of 522, 224, 270Calculator?

Out the numbers 522, 224, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.