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GCD of 352, 216, 624, 550 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 216, 624, 550 quickly. Get the easiest ways to solve the greatest common divisor of 352, 216, 624, 550 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 216, 624, 550 with Factoring?

Given Input numbers are 352, 216, 624, 550

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550


GCD of numbers is the greatest common divisor

So, the GCD (352, 216, 624, 550) = 2.

Find GCD of 352, 216, 624, 550 using Prime Factorization

Given numbers are 352, 216, 624, 550

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

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

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 352, 216, 624, 550 is 2.

Steps to Calculate GCD of 352, 216, 624, 550 using LCM Formula

Given numbers are 352, 216, 624, 550

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

Apply this formula for all numbers.

Step1:

LCM(352, 216) = 9504

GCD(352, 216) = ( 352 x 216 ) / 9504

= 352 / 216

= 352


Step2:

LCM(8, 624) = 624

GCD(8, 624) = ( 8 x 624 ) / 624

= 8 / 624

= 8


Step3:

LCM(8, 550) = 2200

GCD(8, 550) = ( 8 x 550 ) / 2200

= 8 / 550

= 8


So, Greatest Common Divisor of 352, 216, 624, 550 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 216, 624, 550

Given numbers are 352, 216, 624, 550
The greatest common divisor of numbers 352, 216, 624, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 216, 624, 550 is 2.

FAQs on GCD of 352, 216, 624, 550 Calculator

1. What is the GCD of 352, 216, 624, 550?

GCD of given numbers 352, 216, 624, 550 is 2


2. How to calculate the greatest common divisor of 352, 216, 624, 550?

We can find the highest common divisor of 352, 216, 624, 550 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 352, 216, 624, 550 i.e 2.


3. How can I use the GCD of 352, 216, 624, 550Calculator?

Out the numbers 352, 216, 624, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.