Greatest Common Factor of 4116/498, 9980/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4116/498, 9980/739

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 4116/498,9980/739

Given fractions are 4116/498,9980/739

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 4116,9980

Greatest Common Factor of Numerators i.e. GCF of 4116,9980 is 4 .

LCM of Denominators means LCM of 498,739 as per the given fractions.

LCM of 498,739 is 368022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4116,9980

GCF of Fractions 4116/498,9980/739 is 4/368022

2 4116, 9980
2 2058, 4990
1029, 2495

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4116,9980 By Matching Biggest Common Factor Method

Greatest Common Factor of 4116,9980 By Matching Biggest Common Factor Method

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116

Factors of 9980

List of positive integer factors of 9980 that divides 9980 without a remainder.

1,2,4,5,10,20,499,998,1996,2495,4990,9980

Greatest Common Factor

We found the factors 4116,9980 . The biggest common factor number is the GCF number.
So the greatest common factor 4116,9980 is 4.

Lets's calculate LCM of 498,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 368022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/368022

Therefore, the GCF of Fractions 4116/498,9980/739 is 4/368022

Least Common Multiple of 498,739 with GCF Formula

Least Common Multiple of 498,739 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 498,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,739) = 1

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

GCF(498,739) x common factors =1 x 1 = 1

LCM(498,739) = ( 498 × 739 ) / 1

LCM(498,739) = 368022 / 1

LCM(498,739) = 368022


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 4116/498, 9980/739

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 4116/498, 9980/739?

Answer: GCF of Numerators as per given numbers 4116/498, 9980/739 is

GCF of Numerators i.e. for 4116,9980 is 4

LCM of denominators i.e. for 498,739 is 368022.

Thus, GCF of Fractions is 4/368022.Finally, GCF of Fractions for 4116/498, 9980/739 is 4/368022.