Greatest Common Factor of 494/99, 3298/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 494/99, 3298/455

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 494/99,3298/455

Given fractions are 494/99,3298/455

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 494,3298

Greatest Common Factor of Numerators i.e. GCF of 494,3298 is 2 .

LCM of Denominators means LCM of 99,455 as per the given fractions.

LCM of 99,455 is 45045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 494,3298

GCF of Fractions 494/99,3298/455 is 2/45045

2 494, 3298
247, 1649

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 494,3298 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,3298 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

Greatest Common Factor

We found the factors 494,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 494,3298 is 2.


Lets's calculate LCM of 99,455

Given numbers has no common factors except 1. So, there LCM is their product i.e 45045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45045

Therefore, the GCF of Fractions 494/99,3298/455 is 2/45045

Least Common Multiple of 99,455 with GCF Formula

Least Common Multiple of 99,455 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 99,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,455) = 1

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

GCF(99,455) x common factors =1 x 1 = 1

LCM(99,455) = ( 99 × 455 ) / 1

LCM(99,455) = 45045 / 1

LCM(99,455) = 45045


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 494/99, 3298/455

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 494/99, 3298/455?

Answer: GCF of Numerators as per given numbers 494/99, 3298/455 is

GCF of Numerators i.e. for 494,3298 is 2

LCM of denominators i.e. for 99,455 is 45045.

Thus, GCF of Fractions is 2/45045.Finally, GCF of Fractions for 494/99, 3298/455 is 2/45045.