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GCD of 998, 253, 794, 304 Calculator

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


Online GCD Calculator is useful to find the GCD of 998, 253, 794, 304 quickly. Get the easiest ways to solve the greatest common divisor of 998, 253, 794, 304 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 253, 794, 304 with Factoring?

Given Input numbers are 998, 253, 794, 304

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304


GCD of numbers is the greatest common divisor

So, the GCD (998, 253, 794, 304) = 1.

Find GCD of 998, 253, 794, 304 using Prime Factorization

Given numbers are 998, 253, 794, 304

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 253 are 11 x 23

Prime factors of 794 are 2 x 397

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 998, 253, 794, 304 using LCM Formula

Given numbers are 998, 253, 794, 304

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

Apply this formula for all numbers.

Step1:

LCM(998, 253) = 252494

GCD(998, 253) = ( 998 x 253 ) / 252494

= 998 / 253

= 998


Step2:

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

= 1 / 794

= 1


Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


So, Greatest Common Divisor of 998, 253, 794, 304 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 253, 794, 304

Given numbers are 998, 253, 794, 304
The greatest common divisor of numbers 998, 253, 794, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 253, 794, 304 is 1.

FAQs on GCD of 998, 253, 794, 304 Calculator

1. What is the GCD of 998, 253, 794, 304?

GCD of given numbers 998, 253, 794, 304 is 1


2. How to calculate the greatest common divisor of 998, 253, 794, 304?

We can find the highest common divisor of 998, 253, 794, 304 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 998, 253, 794, 304 i.e 1.


3. How can I use the GCD of 998, 253, 794, 304Calculator?

Out the numbers 998, 253, 794, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.