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GCD of 228, 964, 152, 318 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, 964, 152, 318 quickly. Get the easiest ways to solve the greatest common divisor of 228, 964, 152, 318 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 964, 152, 318 with Factoring?

Given Input numbers are 228, 964, 152, 318

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318


GCD of numbers is the greatest common divisor

So, the GCD (228, 964, 152, 318) = 2.

Find GCD of 228, 964, 152, 318 using Prime Factorization

Given numbers are 228, 964, 152, 318

The list of prime factors of all numbers are

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

Prime factors of 964 are 2 x 2 x 241

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 21

Therefore, GCD of 228, 964, 152, 318 is 2.

Steps to Calculate GCD of 228, 964, 152, 318 using LCM Formula

Given numbers are 228, 964, 152, 318

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

Apply this formula for all numbers.

Step1:

LCM(228, 964) = 54948

GCD(228, 964) = ( 228 x 964 ) / 54948

= 228 / 964

= 228


Step2:

LCM(4, 152) = 152

GCD(4, 152) = ( 4 x 152 ) / 152

= 4 / 152

= 4


Step3:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4


So, Greatest Common Divisor of 228, 964, 152, 318 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 964, 152, 318

Given numbers are 228, 964, 152, 318
The greatest common divisor of numbers 228, 964, 152, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 964, 152, 318 is 2.

FAQs on GCD of 228, 964, 152, 318 Calculator

1. What is the GCD of 228, 964, 152, 318?

GCD of given numbers 228, 964, 152, 318 is 2


2. How to calculate the greatest common divisor of 228, 964, 152, 318?

We can find the highest common divisor of 228, 964, 152, 318 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, 964, 152, 318 i.e 2.


3. How can I use the GCD of 228, 964, 152, 318Calculator?

Out the numbers 228, 964, 152, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.