LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 284, 117, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 284, 117, 998 quickly. Get the easiest ways to solve the greatest common divisor of 284, 117, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 284, 117, 998 with Factoring?

Given Input numbers are 284, 117, 998

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 998 :

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

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (284, 117, 998) = 1.

Find GCD of 284, 117, 998 using Prime Factorization

Given numbers are 284, 117, 998

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 117 are 3 x 3 x 13

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 284, 117, 998 using LCM Formula

Given numbers are 284, 117, 998

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

Apply this formula for all numbers.

Step1:

LCM(284, 117) = 33228

GCD(284, 117) = ( 284 x 117 ) / 33228

= 284 / 117

= 284


Step2:

LCM(1, 998) = 998

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

= 1 / 998

= 1


So, Greatest Common Divisor of 284, 117, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 284, 117, 998

Given numbers are 284, 117, 998
The greatest common divisor of numbers 284, 117, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 117, 998 is 1.

FAQs on GCD of 284, 117, 998 Calculator

1. What is the GCD of 284, 117, 998?

GCD of given numbers 284, 117, 998 is 1


2. How to calculate the greatest common divisor of 284, 117, 998?

We can find the highest common divisor of 284, 117, 998 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 284, 117, 998 i.e 1.


3. How can I use the GCD of 284, 117, 998Calculator?

Out the numbers 284, 117, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.