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GCD of 544, 364, 432, 388 Calculator

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


Online GCD Calculator is useful to find the GCD of 544, 364, 432, 388 quickly. Get the easiest ways to solve the greatest common divisor of 544, 364, 432, 388 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 544, 364, 432, 388 with Factoring?

Given Input numbers are 544, 364, 432, 388

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

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388


GCD of numbers is the greatest common divisor

So, the GCD (544, 364, 432, 388) = 4.

Find GCD of 544, 364, 432, 388 using Prime Factorization

Given numbers are 544, 364, 432, 388

The list of prime factors of all numbers are

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 22

Therefore, GCD of 544, 364, 432, 388 is 4.

Steps to Calculate GCD of 544, 364, 432, 388 using LCM Formula

Given numbers are 544, 364, 432, 388

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

Apply this formula for all numbers.

Step1:

LCM(544, 364) = 49504

GCD(544, 364) = ( 544 x 364 ) / 49504

= 544 / 364

= 544


Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4


Step3:

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

= 4 / 388

= 4


So, Greatest Common Divisor of 544, 364, 432, 388 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 544, 364, 432, 388

Given numbers are 544, 364, 432, 388
The greatest common divisor of numbers 544, 364, 432, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 544, 364, 432, 388 is 4.

FAQs on GCD of 544, 364, 432, 388 Calculator

1. What is the GCD of 544, 364, 432, 388?

GCD of given numbers 544, 364, 432, 388 is 4


2. How to calculate the greatest common divisor of 544, 364, 432, 388?

We can find the highest common divisor of 544, 364, 432, 388 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 544, 364, 432, 388 i.e 4.


3. How can I use the GCD of 544, 364, 432, 388Calculator?

Out the numbers 544, 364, 432, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.