Greatest Common Factor of 7391/970, 6800/4266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7391/970, 6800/4266

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 7391/970,6800/4266

Given fractions are 7391/970,6800/4266

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 7391,6800

Greatest Common Factor of Numerators i.e. GCF of 7391,6800 is 1 .

LCM of Denominators means LCM of 970,4266 as per the given fractions.

LCM of 970,4266 is 2069010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7391,6800

GCF of Fractions 7391/970,6800/4266 is 1/2069010

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

Greatest Common Factor of 7391,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 7391,6800 By Matching Biggest Common Factor Method

Factors of 7391

List of positive integer factors of 7391 that divides 7391 without a remainder.

1,19,389,7391

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 7391,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 7391,6800 is 1.

Lets's calculate LCM of 970,4266

2 970, 4266
485, 2133

∴ So the LCM of the given numbers is 2 x 485 x 2133 = 2069010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2069010

Therefore, the GCF of Fractions 7391/970,6800/4266 is 1/2069010

Least Common Multiple of 970,4266 with GCF Formula

Least Common Multiple of 970,4266 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 970,4266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,4266) = 2

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

GCF(970,4266) x common factors =2 x 1 = 2

LCM(970,4266) = ( 970 × 4266 ) / 2

LCM(970,4266) = 4138020 / 2

LCM(970,4266) = 2069010


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 7391/970, 6800/4266

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 7391/970, 6800/4266?

Answer: GCF of Numerators as per given numbers 7391/970, 6800/4266 is

GCF of Numerators i.e. for 7391,6800 is 1

LCM of denominators i.e. for 970,4266 is 2069010.

Thus, GCF of Fractions is 1/2069010.Finally, GCF of Fractions for 7391/970, 6800/4266 is 1/2069010.