Greatest Common Factor of 71/684, 39/109, 998/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/684, 39/109, 998/245

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 71/684,39/109,998/245

Given fractions are 71/684,39/109,998/245

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 71,39,998

Greatest Common Factor of Numerators i.e. GCF of 71,39,998 is 1 .

LCM of Denominators means LCM of 684,109,245 as per the given fractions.

LCM of 684,109,245 is 18266220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,39,998

GCF of Fractions 71/684,39/109,998/245 is 1/18266220

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

Greatest Common Factor of 71,39,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,39,998 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 998

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

1,2,499,998

Greatest Common Factor

We found the factors 71,39,998 . The biggest common factor number is the GCF number.
So the greatest common factor 71,39,998 is 1.

Lets's calculate LCM of 684,109,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 18266220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18266220

Therefore, the GCF of Fractions 71/684,39/109,998/245 is 1/18266220

Least Common Multiple of 684,109,245 with GCF Formula

Least Common Multiple of 684,109,245 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 684,109,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,109,245) = 1

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

GCF(684,109,245) x common factors =1 x 1 = 1

LCM(684,109,245) = ( 684 × 109 × 245 ) / 1

LCM(684,109,245) = 18266220 / 1

LCM(684,109,245) = 18266220


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 71/684, 39/109, 998/245

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 71/684, 39/109, 998/245?

Answer: GCF of Numerators as per given numbers 71/684, 39/109, 998/245 is

GCF of Numerators i.e. for 71,39,998 is 1

LCM of denominators i.e. for 684,109,245 is 18266220.

Thus, GCF of Fractions is 1/18266220.Finally, GCF of Fractions for 71/684, 39/109, 998/245 is 1/18266220.