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GCD of 548, 472, 228 Calculator

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


Online GCD Calculator is useful to find the GCD of 548, 472, 228 quickly. Get the easiest ways to solve the greatest common divisor of 548, 472, 228 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 548, 472, 228 with Factoring?

Given Input numbers are 548, 472, 228

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228


GCD of numbers is the greatest common divisor

So, the GCD (548, 472, 228) = 4.

Find GCD of 548, 472, 228 using Prime Factorization

Given numbers are 548, 472, 228

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 22

Therefore, GCD of 548, 472, 228 is 4.

Steps to Calculate GCD of 548, 472, 228 using LCM Formula

Given numbers are 548, 472, 228

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

Apply this formula for all numbers.

Step1:

LCM(548, 472) = 64664

GCD(548, 472) = ( 548 x 472 ) / 64664

= 548 / 472

= 548


Step2:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4


So, Greatest Common Divisor of 548, 472, 228 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 548, 472, 228

Given numbers are 548, 472, 228
The greatest common divisor of numbers 548, 472, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 472, 228 is 4.

FAQs on GCD of 548, 472, 228 Calculator

1. What is the GCD of 548, 472, 228?

GCD of given numbers 548, 472, 228 is 4


2. How to calculate the greatest common divisor of 548, 472, 228?

We can find the highest common divisor of 548, 472, 228 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 548, 472, 228 i.e 4.


3. How can I use the GCD of 548, 472, 228Calculator?

Out the numbers 548, 472, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.