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GCD of 228, 612, 240, 823 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, 612, 240, 823 quickly. Get the easiest ways to solve the greatest common divisor of 228, 612, 240, 823 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 612, 240, 823 with Factoring?

Given Input numbers are 228, 612, 240, 823

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823


GCD of numbers is the greatest common divisor

So, the GCD (228, 612, 240, 823) = 1.

Find GCD of 228, 612, 240, 823 using Prime Factorization

Given numbers are 228, 612, 240, 823

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 823 are 823

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 228, 612, 240, 823 using LCM Formula

Given numbers are 228, 612, 240, 823

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

Apply this formula for all numbers.

Step1:

LCM(228, 612) = 11628

GCD(228, 612) = ( 228 x 612 ) / 11628

= 228 / 612

= 228


Step2:

LCM(12, 240) = 240

GCD(12, 240) = ( 12 x 240 ) / 240

= 12 / 240

= 12


Step3:

LCM(12, 823) = 9876

GCD(12, 823) = ( 12 x 823 ) / 9876

= 12 / 823

= 12


So, Greatest Common Divisor of 228, 612, 240, 823 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 612, 240, 823

Given numbers are 228, 612, 240, 823
The greatest common divisor of numbers 228, 612, 240, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 612, 240, 823 is 1.

FAQs on GCD of 228, 612, 240, 823 Calculator

1. What is the GCD of 228, 612, 240, 823?

GCD of given numbers 228, 612, 240, 823 is 1


2. How to calculate the greatest common divisor of 228, 612, 240, 823?

We can find the highest common divisor of 228, 612, 240, 823 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, 612, 240, 823 i.e 1.


3. How can I use the GCD of 228, 612, 240, 823Calculator?

Out the numbers 228, 612, 240, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.