Greatest Common Factor of 6791/738, 7208/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6791/738, 7208/296

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 6791/738,7208/296

Given fractions are 6791/738,7208/296

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 6791,7208

Greatest Common Factor of Numerators i.e. GCF of 6791,7208 is 1 .

LCM of Denominators means LCM of 738,296 as per the given fractions.

LCM of 738,296 is 109224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6791,7208

GCF of Fractions 6791/738,7208/296 is 1/109224

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

Greatest Common Factor of 6791,7208 By Matching Biggest Common Factor Method

Greatest Common Factor of 6791,7208 By Matching Biggest Common Factor Method

Factors of 6791

List of positive integer factors of 6791 that divides 6791 without a remainder.

1,6791

Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208

Greatest Common Factor

We found the factors 6791,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 6791,7208 is 1.

Lets's calculate LCM of 738,296

2 738, 296
369, 148

∴ So the LCM of the given numbers is 2 x 369 x 148 = 109224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109224

Therefore, the GCF of Fractions 6791/738,7208/296 is 1/109224

Least Common Multiple of 738,296 with GCF Formula

Least Common Multiple of 738,296 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 738,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,296) = 2

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

GCF(738,296) x common factors =2 x 1 = 2

LCM(738,296) = ( 738 × 296 ) / 2

LCM(738,296) = 218448 / 2

LCM(738,296) = 109224


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 6791/738, 7208/296

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 6791/738, 7208/296?

Answer: GCF of Numerators as per given numbers 6791/738, 7208/296 is

GCF of Numerators i.e. for 6791,7208 is 1

LCM of denominators i.e. for 738,296 is 109224.

Thus, GCF of Fractions is 1/109224.Finally, GCF of Fractions for 6791/738, 7208/296 is 1/109224.