Greatest Common Factor of 1105/498, 2278/3998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1105/498, 2278/3998

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 1105/498,2278/3998

Given fractions are 1105/498,2278/3998

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 1105,2278

Greatest Common Factor of Numerators i.e. GCF of 1105,2278 is 17 .

LCM of Denominators means LCM of 498,3998 as per the given fractions.

LCM of 498,3998 is 995502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1105,2278

GCF of Fractions 1105/498,2278/3998 is 17/995502

17 1105, 2278
65, 134

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1105,2278 By Matching Biggest Common Factor Method

Greatest Common Factor of 1105,2278 By Matching Biggest Common Factor Method

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Factors of 2278

List of positive integer factors of 2278 that divides 2278 without a remainder.

1,2,17,34,67,134,1139,2278

Greatest Common Factor

We found the factors 1105,2278 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,2278 is 17.

Lets's calculate LCM of 498,3998

2 498, 3998
249, 1999

∴ So the LCM of the given numbers is 2 x 249 x 1999 = 995502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/995502

Therefore, the GCF of Fractions 1105/498,2278/3998 is 17/995502

Least Common Multiple of 498,3998 with GCF Formula

Least Common Multiple of 498,3998 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 498,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,3998) = 2

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

GCF(498,3998) x common factors =2 x 1 = 2

LCM(498,3998) = ( 498 × 3998 ) / 2

LCM(498,3998) = 1991004 / 2

LCM(498,3998) = 995502


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 1105/498, 2278/3998

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 1105/498, 2278/3998?

Answer: GCF of Numerators as per given numbers 1105/498, 2278/3998 is

GCF of Numerators i.e. for 1105,2278 is 17

LCM of denominators i.e. for 498,3998 is 995502.

Thus, GCF of Fractions is 17/995502.Finally, GCF of Fractions for 1105/498, 2278/3998 is 17/995502.