Greatest Common Factor of 5174/118, 7147/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5174/118, 7147/816

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 5174/118,7147/816

Given fractions are 5174/118,7147/816

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 5174,7147

Greatest Common Factor of Numerators i.e. GCF of 5174,7147 is 1 .

LCM of Denominators means LCM of 118,816 as per the given fractions.

LCM of 118,816 is 48144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5174,7147

GCF of Fractions 5174/118,7147/816 is 1/48144

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

Greatest Common Factor of 5174,7147 By Matching Biggest Common Factor Method

Greatest Common Factor of 5174,7147 By Matching Biggest Common Factor Method

Factors of 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1,2,13,26,199,398,2587,5174

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors 5174,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 5174,7147 is 1.

Lets's calculate LCM of 118,816

2 118, 816
59, 408

∴ So the LCM of the given numbers is 2 x 59 x 408 = 48144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48144

Therefore, the GCF of Fractions 5174/118,7147/816 is 1/48144

Least Common Multiple of 118,816 with GCF Formula

Least Common Multiple of 118,816 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 118,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,816) = 2

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

GCF(118,816) x common factors =2 x 1 = 2

LCM(118,816) = ( 118 × 816 ) / 2

LCM(118,816) = 96288 / 2

LCM(118,816) = 48144


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 5174/118, 7147/816

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 5174/118, 7147/816?

Answer: GCF of Numerators as per given numbers 5174/118, 7147/816 is

GCF of Numerators i.e. for 5174,7147 is 1

LCM of denominators i.e. for 118,816 is 48144.

Thus, GCF of Fractions is 1/48144.Finally, GCF of Fractions for 5174/118, 7147/816 is 1/48144.