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GCD of 228, 520, 408, 249 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, 520, 408, 249 quickly. Get the easiest ways to solve the greatest common divisor of 228, 520, 408, 249 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 520, 408, 249 with Factoring?

Given Input numbers are 228, 520, 408, 249

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249


GCD of numbers is the greatest common divisor

So, the GCD (228, 520, 408, 249) = 1.

Find GCD of 228, 520, 408, 249 using Prime Factorization

Given numbers are 228, 520, 408, 249

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 249 are 3 x 83

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

Steps to Calculate GCD of 228, 520, 408, 249 using LCM Formula

Given numbers are 228, 520, 408, 249

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

Apply this formula for all numbers.

Step1:

LCM(228, 520) = 29640

GCD(228, 520) = ( 228 x 520 ) / 29640

= 228 / 520

= 228


Step2:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4


Step3:

LCM(4, 249) = 996

GCD(4, 249) = ( 4 x 249 ) / 996

= 4 / 249

= 4


So, Greatest Common Divisor of 228, 520, 408, 249 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 520, 408, 249

Given numbers are 228, 520, 408, 249
The greatest common divisor of numbers 228, 520, 408, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 520, 408, 249 is 1.

FAQs on GCD of 228, 520, 408, 249 Calculator

1. What is the GCD of 228, 520, 408, 249?

GCD of given numbers 228, 520, 408, 249 is 1


2. How to calculate the greatest common divisor of 228, 520, 408, 249?

We can find the highest common divisor of 228, 520, 408, 249 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, 520, 408, 249 i.e 1.


3. How can I use the GCD of 228, 520, 408, 249Calculator?

Out the numbers 228, 520, 408, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.