Greatest Common Factor of 717/764, 9414/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 717/764, 9414/791

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 717/764,9414/791

Given fractions are 717/764,9414/791

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 717,9414

Greatest Common Factor of Numerators i.e. GCF of 717,9414 is 3 .

LCM of Denominators means LCM of 764,791 as per the given fractions.

LCM of 764,791 is 604324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 717,9414

GCF of Fractions 717/764,9414/791 is 3/604324

3 717, 9414
239, 3138

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 717,9414 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,9414 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Greatest Common Factor

We found the factors 717,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 717,9414 is 3.

Lets's calculate LCM of 764,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 604324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/604324

Therefore, the GCF of Fractions 717/764,9414/791 is 3/604324

Least Common Multiple of 764,791 with GCF Formula

Least Common Multiple of 764,791 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 764,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,791) = 1

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

GCF(764,791) x common factors =1 x 1 = 1

LCM(764,791) = ( 764 × 791 ) / 1

LCM(764,791) = 604324 / 1

LCM(764,791) = 604324


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 717/764, 9414/791

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 717/764, 9414/791?

Answer: GCF of Numerators as per given numbers 717/764, 9414/791 is

GCF of Numerators i.e. for 717,9414 is 3

LCM of denominators i.e. for 764,791 is 604324.

Thus, GCF of Fractions is 3/604324.Finally, GCF of Fractions for 717/764, 9414/791 is 3/604324.