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GCD of 228, 260, 234, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 228, 260, 234, 984 quickly. Get the easiest ways to solve the greatest common divisor of 228, 260, 234, 984 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 260, 234, 984 with Factoring?

Given Input numbers are 228, 260, 234, 984

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

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 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (228, 260, 234, 984) = 2.

Find GCD of 228, 260, 234, 984 using Prime Factorization

Given numbers are 228, 260, 234, 984

The list of prime factors of all numbers are

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

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 21

Therefore, GCD of 228, 260, 234, 984 is 2.

Steps to Calculate GCD of 228, 260, 234, 984 using LCM Formula

Given numbers are 228, 260, 234, 984

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

Apply this formula for all numbers.

Step1:

LCM(228, 260) = 14820

GCD(228, 260) = ( 228 x 260 ) / 14820

= 228 / 260

= 228


Step2:

LCM(4, 234) = 468

GCD(4, 234) = ( 4 x 234 ) / 468

= 4 / 234

= 4


Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2


So, Greatest Common Divisor of 228, 260, 234, 984 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 260, 234, 984

Given numbers are 228, 260, 234, 984
The greatest common divisor of numbers 228, 260, 234, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 260, 234, 984 is 2.

FAQs on GCD of 228, 260, 234, 984 Calculator

1. What is the GCD of 228, 260, 234, 984?

GCD of given numbers 228, 260, 234, 984 is 2


2. How to calculate the greatest common divisor of 228, 260, 234, 984?

We can find the highest common divisor of 228, 260, 234, 984 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 228, 260, 234, 984 i.e 2.


3. How can I use the GCD of 228, 260, 234, 984Calculator?

Out the numbers 228, 260, 234, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.