Greatest Common Factor of 4127/738, 8747/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4127/738, 8747/117

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 4127/738,8747/117

Given fractions are 4127/738,8747/117

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 4127,8747

Greatest Common Factor of Numerators i.e. GCF of 4127,8747 is 1 .

LCM of Denominators means LCM of 738,117 as per the given fractions.

LCM of 738,117 is 9594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4127,8747

GCF of Fractions 4127/738,8747/117 is 1/9594

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

Greatest Common Factor of 4127,8747 By Matching Biggest Common Factor Method

Greatest Common Factor of 4127,8747 By Matching Biggest Common Factor Method

Factors of 4127

List of positive integer factors of 4127 that divides 4127 without a remainder.

1,4127

Factors of 8747

List of positive integer factors of 8747 that divides 8747 without a remainder.

1,8747

Greatest Common Factor

We found the factors 4127,8747 . The biggest common factor number is the GCF number.
So the greatest common factor 4127,8747 is 1.

Lets's calculate LCM of 738,117

3 738, 117
3 246, 39
82, 13

∴ So the LCM of the given numbers is 3 x 3 x 82 x 13 = 9594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9594

Therefore, the GCF of Fractions 4127/738,8747/117 is 1/9594

Least Common Multiple of 738,117 with GCF Formula

Least Common Multiple of 738,117 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 738,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,117) = 9

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

GCF(738,117) x common factors =9 x 1 = 9

LCM(738,117) = ( 738 × 117 ) / 9

LCM(738,117) = 86346 / 9

LCM(738,117) = 9594


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 4127/738, 8747/117

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 4127/738, 8747/117?

Answer: GCF of Numerators as per given numbers 4127/738, 8747/117 is

GCF of Numerators i.e. for 4127,8747 is 1

LCM of denominators i.e. for 738,117 is 9594.

Thus, GCF of Fractions is 1/9594.Finally, GCF of Fractions for 4127/738, 8747/117 is 1/9594.