Greatest Common Factor of 49/117, 15/989, 218/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/117, 15/989, 218/141

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 49/117,15/989,218/141

Given fractions are 49/117,15/989,218/141

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 49,15,218

Greatest Common Factor of Numerators i.e. GCF of 49,15,218 is 1 .

LCM of Denominators means LCM of 117,989,141 as per the given fractions.

LCM of 117,989,141 is 5438511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,15,218

GCF of Fractions 49/117,15/989,218/141 is 1/5438511

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

Greatest Common Factor of 49,15,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,15,218 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 49,15,218 . The biggest common factor number is the GCF number.
So the greatest common factor 49,15,218 is 1.

Lets's calculate LCM of 117,989,141

3 117, 989, 141
39, 989, 47

∴ So the LCM of the given numbers is 3 x 39 x 989 x 47 = 5438511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5438511

Therefore, the GCF of Fractions 49/117,15/989,218/141 is 1/5438511

Least Common Multiple of 117,989,141 with GCF Formula

Least Common Multiple of 117,989,141 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 117,989,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,989,141) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(117,989,141) x common factors =1 x 3 = 3

LCM(117,989,141) = ( 117 × 989 × 141 ) / 3

LCM(117,989,141) = 16315533 / 3

LCM(117,989,141) = 5438511


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 49/117, 15/989, 218/141

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 49/117, 15/989, 218/141?

Answer: GCF of Numerators as per given numbers 49/117, 15/989, 218/141 is

GCF of Numerators i.e. for 49,15,218 is 1

LCM of denominators i.e. for 117,989,141 is 5438511.

Thus, GCF of Fractions is 1/5438511.Finally, GCF of Fractions for 49/117, 15/989, 218/141 is 1/5438511.