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GCD of 228, 721, 998, 898 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, 721, 998, 898 quickly. Get the easiest ways to solve the greatest common divisor of 228, 721, 998, 898 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 721, 998, 898 with Factoring?

Given Input numbers are 228, 721, 998, 898

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898


GCD of numbers is the greatest common divisor

So, the GCD (228, 721, 998, 898) = 1.

Find GCD of 228, 721, 998, 898 using Prime Factorization

Given numbers are 228, 721, 998, 898

The list of prime factors of all numbers are

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

Prime factors of 721 are 7 x 103

Prime factors of 998 are 2 x 499

Prime factors of 898 are 2 x 449

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

Steps to Calculate GCD of 228, 721, 998, 898 using LCM Formula

Given numbers are 228, 721, 998, 898

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

Apply this formula for all numbers.

Step1:

LCM(228, 721) = 164388

GCD(228, 721) = ( 228 x 721 ) / 164388

= 228 / 721

= 228


Step2:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


So, Greatest Common Divisor of 228, 721, 998, 898 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 721, 998, 898

Given numbers are 228, 721, 998, 898
The greatest common divisor of numbers 228, 721, 998, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 721, 998, 898 is 1.

FAQs on GCD of 228, 721, 998, 898 Calculator

1. What is the GCD of 228, 721, 998, 898?

GCD of given numbers 228, 721, 998, 898 is 1


2. How to calculate the greatest common divisor of 228, 721, 998, 898?

We can find the highest common divisor of 228, 721, 998, 898 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, 721, 998, 898 i.e 1.


3. How can I use the GCD of 228, 721, 998, 898Calculator?

Out the numbers 228, 721, 998, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.