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GCD of 928, 916, 228, 396 Calculator

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


Online GCD Calculator is useful to find the GCD of 928, 916, 228, 396 quickly. Get the easiest ways to solve the greatest common divisor of 928, 916, 228, 396 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 928, 916, 228, 396 with Factoring?

Given Input numbers are 928, 916, 228, 396

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396


GCD of numbers is the greatest common divisor

So, the GCD (928, 916, 228, 396) = 4.

Find GCD of 928, 916, 228, 396 using Prime Factorization

Given numbers are 928, 916, 228, 396

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 22

Therefore, GCD of 928, 916, 228, 396 is 4.

Steps to Calculate GCD of 928, 916, 228, 396 using LCM Formula

Given numbers are 928, 916, 228, 396

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

Apply this formula for all numbers.

Step1:

LCM(928, 916) = 212512

GCD(928, 916) = ( 928 x 916 ) / 212512

= 928 / 916

= 928


Step2:

LCM(4, 228) = 228

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

= 4 / 228

= 4


Step3:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4


So, Greatest Common Divisor of 928, 916, 228, 396 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 928, 916, 228, 396

Given numbers are 928, 916, 228, 396
The greatest common divisor of numbers 928, 916, 228, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 916, 228, 396 is 4.

FAQs on GCD of 928, 916, 228, 396 Calculator

1. What is the GCD of 928, 916, 228, 396?

GCD of given numbers 928, 916, 228, 396 is 4


2. How to calculate the greatest common divisor of 928, 916, 228, 396?

We can find the highest common divisor of 928, 916, 228, 396 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 928, 916, 228, 396 i.e 4.


3. How can I use the GCD of 928, 916, 228, 396Calculator?

Out the numbers 928, 916, 228, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.