Greatest Common Factor of 9948/138, 9179/9748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9948/138, 9179/9748

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 9948/138,9179/9748

Given fractions are 9948/138,9179/9748

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 9948,9179

Greatest Common Factor of Numerators i.e. GCF of 9948,9179 is 1 .

LCM of Denominators means LCM of 138,9748 as per the given fractions.

LCM of 138,9748 is 672612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9948,9179

GCF of Fractions 9948/138,9179/9748 is 1/672612

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

Greatest Common Factor of 9948,9179 By Matching Biggest Common Factor Method

Greatest Common Factor of 9948,9179 By Matching Biggest Common Factor Method

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1,2,3,4,6,12,829,1658,2487,3316,4974,9948

Factors of 9179

List of positive integer factors of 9179 that divides 9179 without a remainder.

1,67,137,9179

Greatest Common Factor

We found the factors 9948,9179 . The biggest common factor number is the GCF number.
So the greatest common factor 9948,9179 is 1.

Lets's calculate LCM of 138,9748

2 138, 9748
69, 4874

∴ So the LCM of the given numbers is 2 x 69 x 4874 = 672612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672612

Therefore, the GCF of Fractions 9948/138,9179/9748 is 1/672612

Least Common Multiple of 138,9748 with GCF Formula

Least Common Multiple of 138,9748 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 138,9748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,9748) = 2

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

GCF(138,9748) x common factors =2 x 1 = 2

LCM(138,9748) = ( 138 × 9748 ) / 2

LCM(138,9748) = 1345224 / 2

LCM(138,9748) = 672612


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 9948/138, 9179/9748

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 9948/138, 9179/9748?

Answer: GCF of Numerators as per given numbers 9948/138, 9179/9748 is

GCF of Numerators i.e. for 9948,9179 is 1

LCM of denominators i.e. for 138,9748 is 672612.

Thus, GCF of Fractions is 1/672612.Finally, GCF of Fractions for 9948/138, 9179/9748 is 1/672612.