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GCD of 216, 522, 618, 988 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 522, 618, 988 quickly. Get the easiest ways to solve the greatest common divisor of 216, 522, 618, 988 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 522, 618, 988 with Factoring?

Given Input numbers are 216, 522, 618, 988

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988


GCD of numbers is the greatest common divisor

So, the GCD (216, 522, 618, 988) = 2.

Find GCD of 216, 522, 618, 988 using Prime Factorization

Given numbers are 216, 522, 618, 988

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 618 are 2 x 3 x 103

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 21

Therefore, GCD of 216, 522, 618, 988 is 2.

Steps to Calculate GCD of 216, 522, 618, 988 using LCM Formula

Given numbers are 216, 522, 618, 988

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

Apply this formula for all numbers.

Step1:

LCM(216, 522) = 6264

GCD(216, 522) = ( 216 x 522 ) / 6264

= 216 / 522

= 216


Step2:

LCM(18, 618) = 1854

GCD(18, 618) = ( 18 x 618 ) / 1854

= 18 / 618

= 18


Step3:

LCM(6, 988) = 2964

GCD(6, 988) = ( 6 x 988 ) / 2964

= 6 / 988

= 6


So, Greatest Common Divisor of 216, 522, 618, 988 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 522, 618, 988

Given numbers are 216, 522, 618, 988
The greatest common divisor of numbers 216, 522, 618, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 522, 618, 988 is 2.

FAQs on GCD of 216, 522, 618, 988 Calculator

1. What is the GCD of 216, 522, 618, 988?

GCD of given numbers 216, 522, 618, 988 is 2


2. How to calculate the greatest common divisor of 216, 522, 618, 988?

We can find the highest common divisor of 216, 522, 618, 988 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 216, 522, 618, 988 i.e 2.


3. How can I use the GCD of 216, 522, 618, 988Calculator?

Out the numbers 216, 522, 618, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.