Greatest Common Factor of 9726/396, 1039/8132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9726/396, 1039/8132

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 9726/396,1039/8132

Given fractions are 9726/396,1039/8132

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 9726,1039

Greatest Common Factor of Numerators i.e. GCF of 9726,1039 is 1 .

LCM of Denominators means LCM of 396,8132 as per the given fractions.

LCM of 396,8132 is 805068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9726,1039

GCF of Fractions 9726/396,1039/8132 is 1/805068

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

Greatest Common Factor of 9726,1039 By Matching Biggest Common Factor Method

Greatest Common Factor of 9726,1039 By Matching Biggest Common Factor Method

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1,2,3,6,1621,3242,4863,9726

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1,1039

Greatest Common Factor

We found the factors 9726,1039 . The biggest common factor number is the GCF number.
So the greatest common factor 9726,1039 is 1.

Lets's calculate LCM of 396,8132

2 396, 8132
2 198, 4066
99, 2033

∴ So the LCM of the given numbers is 2 x 2 x 99 x 2033 = 805068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805068

Therefore, the GCF of Fractions 9726/396,1039/8132 is 1/805068

Least Common Multiple of 396,8132 with GCF Formula

Least Common Multiple of 396,8132 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 396,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,8132) = 4

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

GCF(396,8132) x common factors =4 x 1 = 4

LCM(396,8132) = ( 396 × 8132 ) / 4

LCM(396,8132) = 3220272 / 4

LCM(396,8132) = 805068


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 9726/396, 1039/8132

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 9726/396, 1039/8132?

Answer: GCF of Numerators as per given numbers 9726/396, 1039/8132 is

GCF of Numerators i.e. for 9726,1039 is 1

LCM of denominators i.e. for 396,8132 is 805068.

Thus, GCF of Fractions is 1/805068.Finally, GCF of Fractions for 9726/396, 1039/8132 is 1/805068.