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GCD of 624, 216, 816, 532 Calculator

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


Online GCD Calculator is useful to find the GCD of 624, 216, 816, 532 quickly. Get the easiest ways to solve the greatest common divisor of 624, 216, 816, 532 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 216, 816, 532 with Factoring?

Given Input numbers are 624, 216, 816, 532

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532


GCD of numbers is the greatest common divisor

So, the GCD (624, 216, 816, 532) = 4.

Find GCD of 624, 216, 816, 532 using Prime Factorization

Given numbers are 624, 216, 816, 532

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 22

Therefore, GCD of 624, 216, 816, 532 is 4.

Steps to Calculate GCD of 624, 216, 816, 532 using LCM Formula

Given numbers are 624, 216, 816, 532

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

Apply this formula for all numbers.

Step1:

LCM(624, 216) = 5616

GCD(624, 216) = ( 624 x 216 ) / 5616

= 624 / 216

= 624


Step2:

LCM(24, 816) = 816

GCD(24, 816) = ( 24 x 816 ) / 816

= 24 / 816

= 24


Step3:

LCM(24, 532) = 3192

GCD(24, 532) = ( 24 x 532 ) / 3192

= 24 / 532

= 24


So, Greatest Common Divisor of 624, 216, 816, 532 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 216, 816, 532

Given numbers are 624, 216, 816, 532
The greatest common divisor of numbers 624, 216, 816, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 216, 816, 532 is 4.

FAQs on GCD of 624, 216, 816, 532 Calculator

1. What is the GCD of 624, 216, 816, 532?

GCD of given numbers 624, 216, 816, 532 is 4


2. How to calculate the greatest common divisor of 624, 216, 816, 532?

We can find the highest common divisor of 624, 216, 816, 532 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 624, 216, 816, 532 i.e 4.


3. How can I use the GCD of 624, 216, 816, 532Calculator?

Out the numbers 624, 216, 816, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.