Greatest Common Factor of 3114/489, 8492/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3114/489, 8492/245

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 3114/489,8492/245

Given fractions are 3114/489,8492/245

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 3114,8492

Greatest Common Factor of Numerators i.e. GCF of 3114,8492 is 2 .

LCM of Denominators means LCM of 489,245 as per the given fractions.

LCM of 489,245 is 119805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3114,8492

GCF of Fractions 3114/489,8492/245 is 2/119805

2 3114, 8492
1557, 4246

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

Greatest Common Factor of 3114,8492 By Matching Biggest Common Factor Method

Greatest Common Factor of 3114,8492 By Matching Biggest Common Factor Method

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Factors of 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Greatest Common Factor

We found the factors 3114,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 3114,8492 is 2.

Lets's calculate LCM of 489,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 119805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119805

Therefore, the GCF of Fractions 3114/489,8492/245 is 2/119805

Least Common Multiple of 489,245 with GCF Formula

Least Common Multiple of 489,245 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 489,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,245) = 1

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

GCF(489,245) x common factors =1 x 1 = 1

LCM(489,245) = ( 489 × 245 ) / 1

LCM(489,245) = 119805 / 1

LCM(489,245) = 119805


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 3114/489, 8492/245

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 3114/489, 8492/245?

Answer: GCF of Numerators as per given numbers 3114/489, 8492/245 is

GCF of Numerators i.e. for 3114,8492 is 2

LCM of denominators i.e. for 489,245 is 119805.

Thus, GCF of Fractions is 2/119805.Finally, GCF of Fractions for 3114/489, 8492/245 is 2/119805.