Greatest Common Factor of 791/733, 5726/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 791/733, 5726/177

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 791/733,5726/177

Given fractions are 791/733,5726/177

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 791,5726

Greatest Common Factor of Numerators i.e. GCF of 791,5726 is 7 .

LCM of Denominators means LCM of 733,177 as per the given fractions.

LCM of 733,177 is 129741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,5726

GCF of Fractions 791/733,5726/177 is 7/129741

7 791, 5726
113, 818

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 791,5726 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,5726 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 5726

List of positive integer factors of 5726 that divides 5726 without a remainder.

1,2,7,14,409,818,2863,5726

Greatest Common Factor

We found the factors 791,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 791,5726 is 7.

Lets's calculate LCM of 733,177

Given numbers has no common factors except 1. So, there LCM is their product i.e 129741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/129741

Therefore, the GCF of Fractions 791/733,5726/177 is 7/129741

Least Common Multiple of 733,177 with GCF Formula

Least Common Multiple of 733,177 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 733,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,177) = 1

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

GCF(733,177) x common factors =1 x 1 = 1

LCM(733,177) = ( 733 × 177 ) / 1

LCM(733,177) = 129741 / 1

LCM(733,177) = 129741


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 791/733, 5726/177

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 791/733, 5726/177?

Answer: GCF of Numerators as per given numbers 791/733, 5726/177 is

GCF of Numerators i.e. for 791,5726 is 7

LCM of denominators i.e. for 733,177 is 129741.

Thus, GCF of Fractions is 7/129741.Finally, GCF of Fractions for 791/733, 5726/177 is 7/129741.