Greatest Common Factor of 9708/374, 7074/5266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9708/374, 7074/5266

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 9708/374,7074/5266

Given fractions are 9708/374,7074/5266

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 9708,7074

Greatest Common Factor of Numerators i.e. GCF of 9708,7074 is 6 .

LCM of Denominators means LCM of 374,5266 as per the given fractions.

LCM of 374,5266 is 984742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9708,7074

GCF of Fractions 9708/374,7074/5266 is 6/984742

2 9708, 7074
3 4854, 3537
1618, 1179

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9708,7074 By Matching Biggest Common Factor Method

Greatest Common Factor of 9708,7074 By Matching Biggest Common Factor Method

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074

Greatest Common Factor

We found the factors 9708,7074 . The biggest common factor number is the GCF number.
So the greatest common factor 9708,7074 is 6.

Lets's calculate LCM of 374,5266

2 374, 5266
187, 2633

∴ So the LCM of the given numbers is 2 x 187 x 2633 = 984742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/984742

Therefore, the GCF of Fractions 9708/374,7074/5266 is 6/984742

Least Common Multiple of 374,5266 with GCF Formula

Least Common Multiple of 374,5266 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 374,5266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,5266) = 2

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

GCF(374,5266) x common factors =2 x 1 = 2

LCM(374,5266) = ( 374 × 5266 ) / 2

LCM(374,5266) = 1969484 / 2

LCM(374,5266) = 984742


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 9708/374, 7074/5266

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 9708/374, 7074/5266?

Answer: GCF of Numerators as per given numbers 9708/374, 7074/5266 is

GCF of Numerators i.e. for 9708,7074 is 6

LCM of denominators i.e. for 374,5266 is 984742.

Thus, GCF of Fractions is 6/984742.Finally, GCF of Fractions for 9708/374, 7074/5266 is 6/984742.