Greatest Common Factor of 998/92, 446/99, 249/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 998/92, 446/99, 249/41

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 998/92,446/99,249/41

Given fractions are 998/92,446/99,249/41

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 998,446,249

Greatest Common Factor of Numerators i.e. GCF of 998,446,249 is 1 .

LCM of Denominators means LCM of 92,99,41 as per the given fractions.

LCM of 92,99,41 is 373428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 998,446,249

GCF of Fractions 998/92,446/99,249/41 is 1/373428

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 998,446,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,446,249 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 998,446,249 . The biggest common factor number is the GCF number.
So the greatest common factor 998,446,249 is 1.

Lets's calculate LCM of 92,99,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 373428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373428

Therefore, the GCF of Fractions 998/92,446/99,249/41 is 1/373428

Least Common Multiple of 92,99,41 with GCF Formula

Least Common Multiple of 92,99,41 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 92,99,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,99,41) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(92,99,41) x common factors =1 x 1 = 1

LCM(92,99,41) = ( 92 × 99 × 41 ) / 1

LCM(92,99,41) = 373428 / 1

LCM(92,99,41) = 373428


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 998/92, 446/99, 249/41

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 998/92, 446/99, 249/41?

Answer: GCF of Numerators as per given numbers 998/92, 446/99, 249/41 is

GCF of Numerators i.e. for 998,446,249 is 1

LCM of denominators i.e. for 92,99,41 is 373428.

Thus, GCF of Fractions is 1/373428.Finally, GCF of Fractions for 998/92, 446/99, 249/41 is 1/373428.