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GCD of 396, 528, 510, 242 Calculator

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


Online GCD Calculator is useful to find the GCD of 396, 528, 510, 242 quickly. Get the easiest ways to solve the greatest common divisor of 396, 528, 510, 242 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 528, 510, 242 with Factoring?

Given Input numbers are 396, 528, 510, 242

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (396, 528, 510, 242) = 2.

Find GCD of 396, 528, 510, 242 using Prime Factorization

Given numbers are 396, 528, 510, 242

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 396, 528, 510, 242 is 2.

Steps to Calculate GCD of 396, 528, 510, 242 using LCM Formula

Given numbers are 396, 528, 510, 242

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

Apply this formula for all numbers.

Step1:

LCM(396, 528) = 1584

GCD(396, 528) = ( 396 x 528 ) / 1584

= 396 / 528

= 396


Step2:

LCM(132, 510) = 11220

GCD(132, 510) = ( 132 x 510 ) / 11220

= 132 / 510

= 132


Step3:

LCM(6, 242) = 726

GCD(6, 242) = ( 6 x 242 ) / 726

= 6 / 242

= 6


So, Greatest Common Divisor of 396, 528, 510, 242 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 528, 510, 242

Given numbers are 396, 528, 510, 242
The greatest common divisor of numbers 396, 528, 510, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 528, 510, 242 is 2.

FAQs on GCD of 396, 528, 510, 242 Calculator

1. What is the GCD of 396, 528, 510, 242?

GCD of given numbers 396, 528, 510, 242 is 2


2. How to calculate the greatest common divisor of 396, 528, 510, 242?

We can find the highest common divisor of 396, 528, 510, 242 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 396, 528, 510, 242 i.e 2.


3. How can I use the GCD of 396, 528, 510, 242Calculator?

Out the numbers 396, 528, 510, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.